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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