ADDING AND SUBTRACTING MATRICES WORKSHEET

Two and more matrices can be added or subtracted if and only if they are having same order.

Note :

If the order those matrices are not same then, we cannot add those matrices.

Question 1 :

Add the following matrices.

Question 2 :

Add the following matrices.

Question 3 :

Subtract the following matrices.

Question 4 :

Suppose the sum A+B+C exists. We also know that  has 2 rows and C has 3 columns. What can we say about matrix B ?

Question 5 :

Given that 

Where O is the 2x2 zero matrix, find the value of x.

Question 6 :

Given that

find the values of x, y, z, a and b.

Question 1:

Solution :

Question 2 :

Find the sum of the following matrices

Solution :

Question 3 :

Subtract the following matrices.

Solution :

Question 4 :

Suppose the sum A+B+C exists. We also know that  has 2 rows and C has 3 columns. What can we say about matrix B ?

Solution :

If A+B+C exists, then the matrices A, B and C should be in same order.

In general, 

Order of matrix  =  m x n

m - Number of rows and n - number of columns

From the given information,

Number of rows of matrix A  =  2

Number of columns of matrix C  =  3

Both A and C should be in the order 2 x 3, then matrix B  will also have the same order.

So, order of the matrix B is 2 x 3.

Question 5 :

Given that 

Where O is the 2x2 zero matrix, find the value of x.

Solution :

a-6  =  0

a  =  6

b+8  =  0

b  =  -8

c+6  =  0

c  =  -6

d+5  =  0

d  =  -5

Question 6 :

Given that

find the values of x, y, z, a and b.

Solution :

By adding the corresponding terms, we get

x  =  7+11

x  =  18

y  =  -5+9

y  =  4

z  =  10+11

z  =  21

a  =  5+6

a  =  11

b  =  5+2

b  =  7

So, the values of x, y, z, a and b are 18, 4, 21, 11 and 7 respectively.

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