حلول الأسئلة

السؤال

استعمل المصفوفات X with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 2 cell negative 6 end cell row cell 3 y end cell cell negative 4.5 end cell end table close square brackets comma Y with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row cell negative 5 end cell cell negative 1.5 end cell row cell x plus 2 end cell y row 13 cell 1.2 end cell end table close square brackets comma Z with _ below equals open square brackets table attributes columnalign right columnspacing 1em end attributes row cell negative 3 end cell row cell x plus y end cell end table close square brackets ، لإيجاد ناتج الضرب في كل مما يأتي إذا كان ذلك ممكناً:

الحل

bold italic Y with _ below X with _ below

Error converting from MathML to accessible text.

شاهد حلول جميع الاسئلة

حل أسئلة تدرب وحل المسائل

تدرب وحل المسائل

حدد إذا كانت عملية الضرب معرفة في كل مما يأتي أم لا؟ وإن كانت معرفة فأوجد رتبة المصفوفة الناتجة:

15) P with _ below subscript 2 cross times 3 end subscript times Q with _ below subscript 3 cross times 4 end subscript

معرفة 4 cross times2

16) A with _ below subscript 5 cross times 5 end subscript times B with _ below subscript 5 cross times 5 end subscript

معرفة 5 cross times 5

17) M with _ below subscript 3 cross times 1 end subscript times N with _ below subscript 2 cross times 3 end subscript

غير معرفة.

18) X with _ below subscript 2 cross times 6 end subscript times Y with _ below subscript 6 cross times 3 end subscript

معرفة 3 cross times 2

19) J with _ below subscript 2 cross times 1 end subscript times K with _ below subscript 2 cross times 1 end subscript

غير معرفة.

20) S with _ below subscript 5 cross times 2 end subscript times T with _ below subscript 2 cross times 4 end subscript

معرفة 4 cross times 5

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً:

21)

table attributes columnalign right columnspacing 1em end attributes row cell left square bracket table attributes columnalign left left columnspacing 1em end attributes row 1 6 end table right square bracket times open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 10 end cell row 6 end table end cell blank end table close square brackets end cell row cell left square bracket 1 left parenthesis negative 10 right parenthesis plus 6 left parenthesis 6 right parenthesis right square bracket equals end cell row cell left square bracket 26 right square bracket equals end cell end table

22)

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row 6 row cell negative 3 end cell end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left columnspacing 1em end attributes row 2 cell negative 7 end cell end table right square bracket end cell row blank blank row blank cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 6 left parenthesis 2 right parenthesis end cell cell 6 left parenthesis negative 7 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 2 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 7 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank blank row blank cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 12 cell negative 42 end cell row cell negative 6 end cell 21 end table end cell blank end table close square brackets equals end cell end table

23)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 3 end cell cell negative 7 end cell row cell negative 2 end cell cell negative 1 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 4 4 row 9 cell negative 3 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell left parenthesis negative 3 right parenthesis 4 plus left parenthesis negative 7 right parenthesis 9 end cell cell left parenthesis negative 3 right parenthesis 4 plus left parenthesis negative 7 right parenthesis left parenthesis negative 3 right parenthesis end cell row cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 1 right parenthesis 9 end cell cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 75 end cell 9 row cell negative 17 end cell cell negative 5 end cell end table end cell blank end table close square brackets equals end cell end table

24)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 1 end cell 0 row 5 2 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row 7 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 1 right parenthesis 6 plus 0 left parenthesis 7 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell row cell 5 left parenthesis 6 right parenthesis plus 2 left parenthesis 7 right parenthesis end cell cell 5 left parenthesis negative 3 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 6 end cell 3 row 44 cell negative 19 end cell end table end cell blank end table close square brackets equals end cell end table

25)

open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 1 end cell 0 6 row cell negative 4 end cell cell negative 10 end cell 4 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 5 cell negative 7 end cell row cell negative 2 end cell cell negative 9 end cell end table end cell blank end table close square brackets

غير معرفة.

26)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 6 end cell 4 cell negative 9 end cell row 2 8 7 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign left columnspacing 1em end attributes row 7 row 2 row 4 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell 6 left parenthesis 7 right parenthesis plus 4 left parenthesis 2 right parenthesis plus left parenthesis negative 9 right parenthesis 4 end cell row cell 2 left parenthesis 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus 7 left parenthesis 4 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 70 end cell row 58 end table end cell blank end table close square brackets equals end cell end table

27)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 2 9 cell negative 3 end cell row 4 cell negative 1 end cell 0 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 4 2 row cell negative 6 end cell 7 row cell negative 2 end cell 1 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell 2 left parenthesis 4 right parenthesis plus 9 left parenthesis negative 6 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 2 left parenthesis 2 right parenthesis plus 9 left parenthesis 7 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 1 right parenthesis end cell row cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 6 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis 7 plus 0 left parenthesis 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 40 end cell 64 row 22 1 end table end cell blank end table close square brackets equals end cell end table

28)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 4 end cell row 8 end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left columnspacing 1em end attributes row cell negative 3 end cell cell negative 1 end cell end table right square bracket end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 4 right parenthesis left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 4 right parenthesis left parenthesis negative 3 right parenthesis end cell row cell 8 left parenthesis negative 3 right parenthesis end cell cell 8 left parenthesis negative 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 12 4 row cell negative 24 end cell cell negative 8 end cell end table end cell blank end table close square brackets equals end cell end table

29) أجنحة فندقية: لدى مؤسسة للأجنحة الفندقية 3 مبان للإيجار ويبين الجدول المجاور عدد الغرف في كل مبنى فإذا كانت الأجرة اليومية للغرفة التي تحوي سرير 220 ريال وللغرفة التي تحوي سريرين 250 ريال وللغرفة التي تحوي ثلاثة أسرة 360 ريال.

a) اكتب مصفوفة تمثل عدد الغرف ثم اكتب مصفوفة أسعار الغرف.

I with _ below equals open square brackets table attributes columnalign left left left columnspacing 1em end attributes row 3 2 2 row 2 3 1 row 4 3 0 end table close square brackets comma space of 1em C with _ below equals open square brackets table attributes columnspacing 1em end attributes row 220 row 250 row 360 end table close square brackets

b) اكتب مصفوفة تمثل الدخل اليومي للمؤسسة على فرض أن جميع الغرف تم تأجيرها.

open square brackets table attributes columnalign left columnspacing 1em end attributes row cell 3 left parenthesis 220 right parenthesis plus 2 left parenthesis 250 right parenthesis plus 2 left parenthesis 360 right parenthesis end cell row cell 2 left parenthesis 220 right parenthesis plus 3 left parenthesis 250 right parenthesis plus 1 left parenthesis 360 right parenthesis end cell row cell 4 left parenthesis 220 right parenthesis plus 3 left parenthesis 250 right parenthesis plus 0 left parenthesis 360 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign left columnspacing 1em end attributes row 1880 row 1550 row 1630 end table close square brackets space ريا�

c) ما مقدار الدخل اليومي الكلي على فرض أن جميع الغرف تم تأجيرها.

1630+1550+1880=5060 ريالاً.

إذا كانت P with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets comma Q with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets comma R with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets comma k equals 2، فحدد ما إذا كانت المعادلات الآتية صحيحة للمصفوفات المعطاة أم لا:

30) k left parenthesis P with _ below Q with _ below right parenthesis equals P with _ below left parenthesis k Q with _ below right parenthesis

table attributes columnalign right left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 52 42 row 4 cell negative 12 end cell end table close square brackets equals k left parenthesis stack P Q with _ below right parenthesis end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 52 42 row 4 cell negative 12 end cell end table close square brackets equals P with _ below left parenthesis k Q with _ below right parenthesis end cell end table

صحيحة.

31) stack P Q R with _ below equals R with _ below Q with _ below P with _ below

table attributes columnalign left left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 26 21 row 2 cell negative 6 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 5 right parenthesis end cell row cell 1 left parenthesis 6 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell cell 1 left parenthesis 4 right parenthesis plus 2 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals P with _ below Q with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell negative 22 end cell 240 row 44 cell negative 12 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 26 left parenthesis 4 right parenthesis plus 21 left parenthesis negative 6 right parenthesis end cell cell 26 left parenthesis 6 right parenthesis plus 21 left parenthesis 4 right parenthesis end cell row cell 2 left parenthesis 4 right parenthesis plus left parenthesis negative 6 right parenthesis left parenthesis negative 6 right parenthesis end cell cell 2 left parenthesis 6 right parenthesis plus left parenthesis negative 6 right parenthesis 4 end cell end table close square brackets equals P with _ below Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 12 cell negative 14 end cell row cell negative 44 end cell cell negative 44 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 6 right parenthesis plus 6 left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 4 right parenthesis plus 6 left parenthesis negative 5 right parenthesis end cell row cell left parenthesis negative 6 right parenthesis 6 plus 4 left parenthesis negative 2 right parenthesis end cell cell left parenthesis negative 6 right parenthesis 4 plus 4 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals R with _ below Q with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 34 cell negative 40 end cell row cell negative 220 end cell cell negative 44 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 12 left parenthesis 4 right parenthesis plus left parenthesis negative 14 right parenthesis left parenthesis 1 right parenthesis end cell cell 12 left parenthesis negative 1 right parenthesis plus left parenthesis negative 14 right parenthesis 2 end cell row cell left parenthesis negative 44 right parenthesis 4 plus left parenthesis negative 44 right parenthesis left parenthesis 1 right parenthesis end cell cell left parenthesis negative 44 right parenthesis left parenthesis negative 1 right parenthesis plus left parenthesis negative 44 right parenthesis 2 end cell end table close square brackets equals R with _ below P with _ below Q with _ below end cell end table

غير صحيحة.

32) P with _ below R with _ below plus Q with _ below R with _ below equals left parenthesis P with _ below plus Q with _ below right parenthesis R with _ below

table attributes columnalign right left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals left parenthesis P with _ below plus Q with _ below right parenthesis R with _ below end cell end table

صحيحة.

33) R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis equals P with _ below R with _ below plus Q with _ below R with _ below

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 10 3 row cell negative 1 end cell cell negative 3 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 plus 6 end cell cell negative 1 plus 4 end cell row cell 1 plus left parenthesis negative 2 right parenthesis end cell cell 2 plus left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets plus open square brackets table attributes columnalign center center columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets equals P plus Q end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 10 right parenthesis plus 6 left parenthesis negative 1 right parenthesis end cell cell 4 left parenthesis 3 right parenthesis plus 6 left parenthesis negative 3 right parenthesis end cell row cell left parenthesis negative 6 right parenthesis 10 plus 4 left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 6 right parenthesis 3 plus 4 left parenthesis negative 3 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets open square brackets table attributes columnalign center center columnspacing 1em end attributes row 10 3 row cell negative 1 end cell cell negative 3 end cell end table close square brackets equals R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 34 cell negative 6 end cell row cell negative 64 end cell cell negative 20 end cell end table close square brackets equals R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis end cell end table

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 6 right parenthesis end cell cell 4 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis 4 end cell row cell 1 left parenthesis 4 right parenthesis plus 2 left parenthesis negative 6 right parenthesis end cell cell 1 left parenthesis 6 right parenthesis plus 2 left parenthesis 4 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets times open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets equals P R end cell row blank cell open square brackets table attributes columnalign right right columnspacing 1em end attributes row 22 20 row cell negative 8 end cell 14 end table close square brackets equals end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 6 left parenthesis 4 right parenthesis plus 4 left parenthesis negative 6 right parenthesis end cell cell 6 left parenthesis 6 right parenthesis plus 4 left parenthesis 4 right parenthesis end cell row cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 5 right parenthesis left parenthesis negative 6 right parenthesis end cell cell left parenthesis negative 2 right parenthesis 6 plus left parenthesis negative 5 right parenthesis 4 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets times open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 9 row cell negative 6 end cell 4 end table close square brackets equals Q with _ below R with _ below end cell end table

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 0 52 row 22 cell negative 32 end cell end table close square brackets equals Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 22 plus 0 end cell cell 20 plus 52 end cell row cell negative 8 plus 22 end cell cell 14 plus left parenthesis negative 32 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 20 row cell negative 8 end cell 14 end table close square brackets plus open square brackets table attributes columnalign center center columnspacing 1em end attributes row 0 52 row 22 cell negative 32 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell end table

غير صحيحة.

34) تنسيق زهور: اشترى محل تنسيق زهور 200 زهرة جوري و150 زهرة نرجس و100 زهرة زنبق وسعر شراء الزهرة من كل نوع مبين في الجدول المجاور وكذلك سعر بيع الزهرة بعد تغليفها وتنسيقها في باقة.

a) استعمل ضرب المصفوفات لإيجاد المبلغ الكلي لشراء الزهور.

525 equals left square bracket 525 right square bracket equals left square bracket 200 left parenthesis 0.5 right parenthesis plus 150 left parenthesis 1.5 right parenthesis plus 100 left parenthesis 2 right parenthesis right square bracket equals open square brackets table attributes columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnspacing 1em end attributes row cell 0.5 end cell row cell 1.5 end cell row 2 end table close square brackets ريالاً

b) استعمل ضرب المصفوفات لإيجاد المبلغ الكلي الذي حصل عليه صاحب المحل من بيع الزهور.

2200 equals left square bracket 2200 right square bracket equals left square bracket 200 left parenthesis 3 right parenthesis plus 150 left parenthesis 6 right parenthesis plus 100 left parenthesis 7 right parenthesis right square bracket equals open square brackets table attributes columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnalign left columnspacing 1em end attributes row 3 row 6 row 7 end table close square brackets ريالاً.

c) أوجد مقدار ربح المحل من بيع الزهور.

1675 equals left square bracket 525 right square bracket minus left square bracket 2200 right square bracket equals open square brackets table attributes columnalign left columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnspacing 1em end attributes row cell 0.5 end cell row cell 1.5 end cell row 2 end table close square brackets minus open square brackets table attributes columnalign left columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnalign left columnspacing 1em end attributes row 3 row 6 row 7 end table close square brackets ريالاً.

استعمل المصفوفات X with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 2 cell negative 6 end cell row cell 3 y end cell cell negative 4.5 end cell end table close square brackets comma Y with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row cell negative 5 end cell cell negative 1.5 end cell row cell x plus 2 end cell y row 13 cell 1.2 end cell end table close square brackets comma Z with _ below equals open square brackets table attributes columnalign right columnspacing 1em end attributes row cell negative 3 end cell row cell x plus y end cell end table close square brackets، لإيجاد ناتج الضرب في كل مما يأتي إذا كان ذلك ممكناً:

35) X with _ below Y with _ below

غير معرفة.

36) bold italic Y with _ below X with _ below

Error converting from MathML to accessible text.

37) Z with _ below Y with _ below

غير معرفة.

38) Y with _ below Z with _ below

Error converting from MathML to accessible text.

39) left parenthesis Y with _ below X with _ below right parenthesis Z with _ below

متروك للطالب.

40) left parenthesis X with _ below Z with _ below right parenthesis X with _ below

غير معرفة.

41) X with _ below left parenthesis Z with _ below Z with _ below right parenthesis

غير معرفة.

42) left parenthesis X with _ below X with _ below right parenthesis Z with _ below

Error converting from MathML to accessible text.

Error converting from MathML to accessible text.

Error converting from MathML to accessible text.

مشاركة الدرس

السؤال

استعمل المصفوفات X with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 2 cell negative 6 end cell row cell 3 y end cell cell negative 4.5 end cell end table close square brackets comma Y with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row cell negative 5 end cell cell negative 1.5 end cell row cell x plus 2 end cell y row 13 cell 1.2 end cell end table close square brackets comma Z with _ below equals open square brackets table attributes columnalign right columnspacing 1em end attributes row cell negative 3 end cell row cell x plus y end cell end table close square brackets ، لإيجاد ناتج الضرب في كل مما يأتي إذا كان ذلك ممكناً:

الحل

bold italic Y with _ below X with _ below

Error converting from MathML to accessible text.

حل أسئلة تدرب وحل المسائل

تدرب وحل المسائل

حدد إذا كانت عملية الضرب معرفة في كل مما يأتي أم لا؟ وإن كانت معرفة فأوجد رتبة المصفوفة الناتجة:

15) P with _ below subscript 2 cross times 3 end subscript times Q with _ below subscript 3 cross times 4 end subscript

معرفة 4 cross times2

16) A with _ below subscript 5 cross times 5 end subscript times B with _ below subscript 5 cross times 5 end subscript

معرفة 5 cross times 5

17) M with _ below subscript 3 cross times 1 end subscript times N with _ below subscript 2 cross times 3 end subscript

غير معرفة.

18) X with _ below subscript 2 cross times 6 end subscript times Y with _ below subscript 6 cross times 3 end subscript

معرفة 3 cross times 2

19) J with _ below subscript 2 cross times 1 end subscript times K with _ below subscript 2 cross times 1 end subscript

غير معرفة.

20) S with _ below subscript 5 cross times 2 end subscript times T with _ below subscript 2 cross times 4 end subscript

معرفة 4 cross times 5

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً:

21)

table attributes columnalign right columnspacing 1em end attributes row cell left square bracket table attributes columnalign left left columnspacing 1em end attributes row 1 6 end table right square bracket times open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 10 end cell row 6 end table end cell blank end table close square brackets end cell row cell left square bracket 1 left parenthesis negative 10 right parenthesis plus 6 left parenthesis 6 right parenthesis right square bracket equals end cell row cell left square bracket 26 right square bracket equals end cell end table

22)

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row 6 row cell negative 3 end cell end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left columnspacing 1em end attributes row 2 cell negative 7 end cell end table right square bracket end cell row blank blank row blank cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 6 left parenthesis 2 right parenthesis end cell cell 6 left parenthesis negative 7 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 2 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 7 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank blank row blank cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 12 cell negative 42 end cell row cell negative 6 end cell 21 end table end cell blank end table close square brackets equals end cell end table

23)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 3 end cell cell negative 7 end cell row cell negative 2 end cell cell negative 1 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 4 4 row 9 cell negative 3 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell left parenthesis negative 3 right parenthesis 4 plus left parenthesis negative 7 right parenthesis 9 end cell cell left parenthesis negative 3 right parenthesis 4 plus left parenthesis negative 7 right parenthesis left parenthesis negative 3 right parenthesis end cell row cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 1 right parenthesis 9 end cell cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 75 end cell 9 row cell negative 17 end cell cell negative 5 end cell end table end cell blank end table close square brackets equals end cell end table

24)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 1 end cell 0 row 5 2 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row 7 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 1 right parenthesis 6 plus 0 left parenthesis 7 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell row cell 5 left parenthesis 6 right parenthesis plus 2 left parenthesis 7 right parenthesis end cell cell 5 left parenthesis negative 3 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 6 end cell 3 row 44 cell negative 19 end cell end table end cell blank end table close square brackets equals end cell end table

25)

open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 1 end cell 0 6 row cell negative 4 end cell cell negative 10 end cell 4 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 5 cell negative 7 end cell row cell negative 2 end cell cell negative 9 end cell end table end cell blank end table close square brackets

غير معرفة.

26)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 6 end cell 4 cell negative 9 end cell row 2 8 7 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign left columnspacing 1em end attributes row 7 row 2 row 4 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell 6 left parenthesis 7 right parenthesis plus 4 left parenthesis 2 right parenthesis plus left parenthesis negative 9 right parenthesis 4 end cell row cell 2 left parenthesis 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus 7 left parenthesis 4 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 70 end cell row 58 end table end cell blank end table close square brackets equals end cell end table

27)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 2 9 cell negative 3 end cell row 4 cell negative 1 end cell 0 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 4 2 row cell negative 6 end cell 7 row cell negative 2 end cell 1 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell 2 left parenthesis 4 right parenthesis plus 9 left parenthesis negative 6 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 2 left parenthesis 2 right parenthesis plus 9 left parenthesis 7 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 1 right parenthesis end cell row cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 6 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis 7 plus 0 left parenthesis 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 40 end cell 64 row 22 1 end table end cell blank end table close square brackets equals end cell end table

28)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 4 end cell row 8 end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left columnspacing 1em end attributes row cell negative 3 end cell cell negative 1 end cell end table right square bracket end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 4 right parenthesis left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 4 right parenthesis left parenthesis negative 3 right parenthesis end cell row cell 8 left parenthesis negative 3 right parenthesis end cell cell 8 left parenthesis negative 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 12 4 row cell negative 24 end cell cell negative 8 end cell end table end cell blank end table close square brackets equals end cell end table

29) أجنحة فندقية: لدى مؤسسة للأجنحة الفندقية 3 مبان للإيجار ويبين الجدول المجاور عدد الغرف في كل مبنى فإذا كانت الأجرة اليومية للغرفة التي تحوي سرير 220 ريال وللغرفة التي تحوي سريرين 250 ريال وللغرفة التي تحوي ثلاثة أسرة 360 ريال.

a) اكتب مصفوفة تمثل عدد الغرف ثم اكتب مصفوفة أسعار الغرف.

I with _ below equals open square brackets table attributes columnalign left left left columnspacing 1em end attributes row 3 2 2 row 2 3 1 row 4 3 0 end table close square brackets comma space of 1em C with _ below equals open square brackets table attributes columnspacing 1em end attributes row 220 row 250 row 360 end table close square brackets

b) اكتب مصفوفة تمثل الدخل اليومي للمؤسسة على فرض أن جميع الغرف تم تأجيرها.

open square brackets table attributes columnalign left columnspacing 1em end attributes row cell 3 left parenthesis 220 right parenthesis plus 2 left parenthesis 250 right parenthesis plus 2 left parenthesis 360 right parenthesis end cell row cell 2 left parenthesis 220 right parenthesis plus 3 left parenthesis 250 right parenthesis plus 1 left parenthesis 360 right parenthesis end cell row cell 4 left parenthesis 220 right parenthesis plus 3 left parenthesis 250 right parenthesis plus 0 left parenthesis 360 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign left columnspacing 1em end attributes row 1880 row 1550 row 1630 end table close square brackets space ريا�

c) ما مقدار الدخل اليومي الكلي على فرض أن جميع الغرف تم تأجيرها.

1630+1550+1880=5060 ريالاً.

إذا كانت P with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets comma Q with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets comma R with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets comma k equals 2، فحدد ما إذا كانت المعادلات الآتية صحيحة للمصفوفات المعطاة أم لا:

30) k left parenthesis P with _ below Q with _ below right parenthesis equals P with _ below left parenthesis k Q with _ below right parenthesis

table attributes columnalign right left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 52 42 row 4 cell negative 12 end cell end table close square brackets equals k left parenthesis stack P Q with _ below right parenthesis end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 52 42 row 4 cell negative 12 end cell end table close square brackets equals P with _ below left parenthesis k Q with _ below right parenthesis end cell end table

صحيحة.

31) stack P Q R with _ below equals R with _ below Q with _ below P with _ below

table attributes columnalign left left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 26 21 row 2 cell negative 6 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 5 right parenthesis end cell row cell 1 left parenthesis 6 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell cell 1 left parenthesis 4 right parenthesis plus 2 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals P with _ below Q with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell negative 22 end cell 240 row 44 cell negative 12 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 26 left parenthesis 4 right parenthesis plus 21 left parenthesis negative 6 right parenthesis end cell cell 26 left parenthesis 6 right parenthesis plus 21 left parenthesis 4 right parenthesis end cell row cell 2 left parenthesis 4 right parenthesis plus left parenthesis negative 6 right parenthesis left parenthesis negative 6 right parenthesis end cell cell 2 left parenthesis 6 right parenthesis plus left parenthesis negative 6 right parenthesis 4 end cell end table close square brackets equals P with _ below Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 12 cell negative 14 end cell row cell negative 44 end cell cell negative 44 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 6 right parenthesis plus 6 left parenthesis negative 2 right parenthesis end cell cell 4 left parenthesis 4 right parenthesis plus 6 left parenthesis negative 5 right parenthesis end cell row cell left parenthesis negative 6 right parenthesis 6 plus 4 left parenthesis negative 2 right parenthesis end cell cell left parenthesis negative 6 right parenthesis 4 plus 4 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals R with _ below Q with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 34 cell negative 40 end cell row cell negative 220 end cell cell negative 44 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 12 left parenthesis 4 right parenthesis plus left parenthesis negative 14 right parenthesis left parenthesis 1 right parenthesis end cell cell 12 left parenthesis negative 1 right parenthesis plus left parenthesis negative 14 right parenthesis 2 end cell row cell left parenthesis negative 44 right parenthesis 4 plus left parenthesis negative 44 right parenthesis left parenthesis 1 right parenthesis end cell cell left parenthesis negative 44 right parenthesis left parenthesis negative 1 right parenthesis plus left parenthesis negative 44 right parenthesis 2 end cell end table close square brackets equals R with _ below P with _ below Q with _ below end cell end table

غير صحيحة.

32) P with _ below R with _ below plus Q with _ below R with _ below equals left parenthesis P with _ below plus Q with _ below right parenthesis R with _ below

table attributes columnalign right left columnspacing 0em 2em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals left parenthesis P with _ below plus Q with _ below right parenthesis R with _ below end cell end table

صحيحة.

33) R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis equals P with _ below R with _ below plus Q with _ below R with _ below

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 10 3 row cell negative 1 end cell cell negative 3 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 plus 6 end cell cell negative 1 plus 4 end cell row cell 1 plus left parenthesis negative 2 right parenthesis end cell cell 2 plus left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets plus open square brackets table attributes columnalign center center columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets equals P plus Q end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 10 right parenthesis plus 6 left parenthesis negative 1 right parenthesis end cell cell 4 left parenthesis 3 right parenthesis plus 6 left parenthesis negative 3 right parenthesis end cell row cell left parenthesis negative 6 right parenthesis 10 plus 4 left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 6 right parenthesis 3 plus 4 left parenthesis negative 3 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets open square brackets table attributes columnalign center center columnspacing 1em end attributes row 10 3 row cell negative 1 end cell cell negative 3 end cell end table close square brackets equals R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 34 cell negative 6 end cell row cell negative 64 end cell cell negative 20 end cell end table close square brackets equals R with _ below left parenthesis P with _ below plus Q with _ below right parenthesis end cell end table

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 4 left parenthesis 4 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 6 right parenthesis end cell cell 4 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis 4 end cell row cell 1 left parenthesis 4 right parenthesis plus 2 left parenthesis negative 6 right parenthesis end cell cell 1 left parenthesis 6 right parenthesis plus 2 left parenthesis 4 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 cell negative 1 end cell row 1 2 end table close square brackets times open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 6 row cell negative 6 end cell 4 end table close square brackets equals P R end cell row blank cell open square brackets table attributes columnalign right right columnspacing 1em end attributes row 22 20 row cell negative 8 end cell 14 end table close square brackets equals end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 6 left parenthesis 4 right parenthesis plus 4 left parenthesis negative 6 right parenthesis end cell cell 6 left parenthesis 6 right parenthesis plus 4 left parenthesis 4 right parenthesis end cell row cell left parenthesis negative 2 right parenthesis 4 plus left parenthesis negative 5 right parenthesis left parenthesis negative 6 right parenthesis end cell cell left parenthesis negative 2 right parenthesis 6 plus left parenthesis negative 5 right parenthesis 4 end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 6 4 row cell negative 2 end cell cell negative 5 end cell end table close square brackets times open square brackets table attributes columnalign center center columnspacing 1em end attributes row 4 9 row cell negative 6 end cell 4 end table close square brackets equals Q with _ below R with _ below end cell end table

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 0 52 row 22 cell negative 32 end cell end table close square brackets equals Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row cell 22 plus 0 end cell cell 20 plus 52 end cell row cell negative 8 plus 22 end cell cell 14 plus left parenthesis negative 32 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 20 row cell negative 8 end cell 14 end table close square brackets plus open square brackets table attributes columnalign center center columnspacing 1em end attributes row 0 52 row 22 cell negative 32 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell row blank cell open square brackets table attributes columnalign center center columnspacing 1em end attributes row 22 72 row 14 cell negative 18 end cell end table close square brackets equals P with _ below R with _ below plus Q with _ below R with _ below end cell end table

غير صحيحة.

34) تنسيق زهور: اشترى محل تنسيق زهور 200 زهرة جوري و150 زهرة نرجس و100 زهرة زنبق وسعر شراء الزهرة من كل نوع مبين في الجدول المجاور وكذلك سعر بيع الزهرة بعد تغليفها وتنسيقها في باقة.

a) استعمل ضرب المصفوفات لإيجاد المبلغ الكلي لشراء الزهور.

525 equals left square bracket 525 right square bracket equals left square bracket 200 left parenthesis 0.5 right parenthesis plus 150 left parenthesis 1.5 right parenthesis plus 100 left parenthesis 2 right parenthesis right square bracket equals open square brackets table attributes columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnspacing 1em end attributes row cell 0.5 end cell row cell 1.5 end cell row 2 end table close square brackets ريالاً

b) استعمل ضرب المصفوفات لإيجاد المبلغ الكلي الذي حصل عليه صاحب المحل من بيع الزهور.

2200 equals left square bracket 2200 right square bracket equals left square bracket 200 left parenthesis 3 right parenthesis plus 150 left parenthesis 6 right parenthesis plus 100 left parenthesis 7 right parenthesis right square bracket equals open square brackets table attributes columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnalign left columnspacing 1em end attributes row 3 row 6 row 7 end table close square brackets ريالاً.

c) أوجد مقدار ربح المحل من بيع الزهور.

1675 equals left square bracket 525 right square bracket minus left square bracket 2200 right square bracket equals open square brackets table attributes columnalign left columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnspacing 1em end attributes row cell 0.5 end cell row cell 1.5 end cell row 2 end table close square brackets minus open square brackets table attributes columnalign left columnspacing 1em end attributes row 200 row 150 row 100 end table close square brackets times open square brackets table attributes columnalign left columnspacing 1em end attributes row 3 row 6 row 7 end table close square brackets ريالاً.

استعمل المصفوفات X with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row 2 cell negative 6 end cell row cell 3 y end cell cell negative 4.5 end cell end table close square brackets comma Y with _ below equals open square brackets table attributes columnalign right right columnspacing 1em end attributes row cell negative 5 end cell cell negative 1.5 end cell row cell x plus 2 end cell y row 13 cell 1.2 end cell end table close square brackets comma Z with _ below equals open square brackets table attributes columnalign right columnspacing 1em end attributes row cell negative 3 end cell row cell x plus y end cell end table close square brackets، لإيجاد ناتج الضرب في كل مما يأتي إذا كان ذلك ممكناً:

35) X with _ below Y with _ below

غير معرفة.

36) bold italic Y with _ below X with _ below

Error converting from MathML to accessible text.

37) Z with _ below Y with _ below

غير معرفة.

38) Y with _ below Z with _ below

Error converting from MathML to accessible text.

39) left parenthesis Y with _ below X with _ below right parenthesis Z with _ below

متروك للطالب.

40) left parenthesis X with _ below Z with _ below right parenthesis X with _ below

غير معرفة.

41) X with _ below left parenthesis Z with _ below Z with _ below right parenthesis

غير معرفة.

42) left parenthesis X with _ below X with _ below right parenthesis Z with _ below

Error converting from MathML to accessible text.

Error converting from MathML to accessible text.

Error converting from MathML to accessible text.