Example of equal matrix

Two matrices are called equal matrices if they have the same order or dimension and the corresponding elements are equal.

Suppose A and B are the matrices of equal order i × j and aij = bij, then A are B are called equal matrices.

Example: Find the value of a and x if the matrices

A

=

[

4

3

1

−

5

]

,

B

=

[

a

x

−

6

1

−

5

]

are equal.

Solution:

Given that,

A = B

[

4

3

1

−

5

]

=

[

a

x

−

6

1

−

5

]

Since A and B are equal matrices the corresponding elements are equal.

Therefore,

a = 4

x – 6 = 3

x = 3 + 6

x = 9

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