## Equality of Matrices

In this page equality of matrices  we are going to example problems in matrix.

Definition :

Two matrices A and B are known as equality of matrices if both matrices is having same order.  If two matrices are equal then its corresponding terms will be equal. Based on these property let us look into the following examples to get more practice in this topic.

Example 1:

If the following two matrices are equal then find the values of x,y,w and z.

 x y w z

=

 1 5 7 9

Solution:

We can say the above two matrices are equal because they are having same order (2 x 2).

Corresponding term of  x is 1

Corresponding term of  y is 5

Corresponding term of  w is 7

Corresponding term of  z is 9

Therefore the values of x = 1, y = 5, w = 7 and z = 9

Example 2:

If the following two matrices are equal then find the values of p,q,r and t.

 2p 5p+q 3t 5t+r

=

 10 17 9 15

Solution:

We can say the above two matrices are equal because they are having same order (2 x 2).

Corresponding term of  2p is 10

Corresponding term of  5p + q is 17

Corresponding term of  3t is 9

Corresponding term of  5t + r is 15

 2 p = 10    p = 10/2   p = 5 5p + q = 175(5) + p = 17 25 + p = 17    p = 17 - 25    p = -8 3t = 9  t = 9/3  t = 3 5t + r = 15 5 (3) + r = 15 15 + r = 15        r = 15 - 15         r = 0

Therefore values of p = 5, q = -8, t = 3 and r = 0 equality of matrices examples Equality of Matrices Examples to Matrix Introduction 