The Matrix

Matrices Exercises1- Three companies X,Y,F two types of fabrics ,X company have produced a 1000 meter from the first type , 1200 from the second type. Y company have produced a 500 meters from the first type . 900 meters from the second type , and F have produced a 700 meter from the first type, 400 meters from the second type _ Write these data in matrix image ( A ) on 3 x 2 system_ Write these data also in matrix image ( B ) on 2 x 3 system

2- Two clothing shops one of those days the first shop sell 20 shirts. 5 suits, 12 shoes, and the second shop have sell 13 shirts, 3 suits, 14 shoes _ Write these data in matrix image ( X ) on 2 x 3 system

3- if the matrix was -2 3 5 -6 2 A.= 6 4 , B = 8 5 4 6 0

complete the following -i- system A is ………… , system B is ………… ( ii ) B12 = ……………..iii - Element A23 = …………….. , Element B31 is ……………….. , A13 + B31 = …………………….

 4- Write the matrix A on 2 x 3 system , write matrix B on 2 x 2 system

Rounded matrix and the equal of two matrixes :

X2 -3 4 -35- If it was= 5 Y+2 0 8Then find the values of X,Y 6 X 5 6 1 56-If it was = Y+X 4 7 5 4 F Then find the values of X,Y ,F

7- Prove that the Equality of X and Y values cannot be achieved for the following: 3 X – Y 7 5 7 = 2 Y 1 -4 X – Y

4 -3 4 -3 6 8-if it was A = , B = 0 5 0 8 9

- Mention the systems of A,B and then find AMD ,BMD

2 X 2 Y9- if A was= , B = -1 5 4 5And BMD then find X,Y 10 – complete :The Matrix is a particular organization of data on the picture ........ Horizontal and………. vertical placed between.......... Matrix systems is ..............

2 1 -1 3 11- If A was= -3 2 , B= 0 1 5 1 7 -4Then find A + B , 2A – 3 B

3 -2 5 -2 3 112-If A was = 1 4 0 . B= 2 -3 5 2 -3 1 0 4 7Then find each of : A + BMD

, AMD – B . AMD+BMD

if it possible…

3 3 1 3 4 -214-If X was= .Y= 5 -1 2 5 1 0-Find the matrix A that achieve the relevant : : 2 A + Y – X = 3 -2 7 315 – if Y + 2 YMD = 1 4 6 1

Then find the matrix X

Multiplication 3 2 -2 116-If A was= , B= 4 1 3 4Then find A B ,, B A 0 -2 3 1 517- if X was= .Y= 1 4 1 4 5 4 0Find (X Y )MD

, X – Y 2

-2 1 3 018- if A was= , B= 4 2 4 1Then find the matrix X so 2 X + XMD = A B

3 -2 19- if A was=

4 -3 - prove that A2 - 4A + 4 I = ( A – 2 I )2

2 120- if A was =

3 1 - prove that A2 - A – 5 I =

1 -2

21 – If X = then find X4

0 2

0 -2 3 1 2 122- If A was= 1 4 1 ,B= 1 0 2 4 1 -1 2 5 1Then find A2 + 2 AB + B2

With M

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With M

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With M

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# الطالبات Eأسماء:السديس الهنوف

المطيري أمجادالقحطاني أفنان

الماضي هياالقاسم ود

التويجري الهنوف

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