1 answer:
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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