OPERATIONS WITH MATRICES PRACTICE WORKSHEET

Question 1 :

Find the values of x, y and z from the matrix equation

Question 2 :

Let 

Find the matrix C if C = 2A + B

Question 3 :

Question 1 :

Find the values of x, y and z from the matrix equation

Solution :

The above matrices on both sides same order. So, the corresponding elements are equal.

5x + 2  =  12  -----(1)

y - 4  =  -8  -----(2)

4z + 6  =  2  -----(3)

By solving (1), we get

5x + 2  =  12

5x  =  12-2

5x  =  10

x  =  2

y - 4  =  -8

y  =  -8+4

y  =  -4

4z + 6  =  2

4z  =  6-2

4z  =  4

z  =  -1

So, the values of x, y and z are 2, -4 and -1 respectively.

Question 2 :

Let 

Find the matrix C if C = 2A + B

Solution :

To get the new matrix C, we should multiply the scalar 2 by matrix A and add it by the matrix B.

Question 3 :

Solution :

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