We are asked to complete the following definition.
Two matrices are if all of their corresponding entries are equal.
Let's consider the following two 2* 2 matrices.
A=
1* 1 & sqrt(4)
13+1 & sqrt(3)
[1.3 em]
B=
2-1 & 2
2* 7 & sqrt(3)
Notice that if we simplify the entries of these matrices, they become identical.
A=
1* 1 & sqrt(4)
13+1 & sqrt(3)
=
1 & 2
14 & sqrt(3)
[1.3 em]
B=
2-1 & 2
2* 7 & sqrt(3)
=
1 & 2
14 & sqrt(3)
Since the matrices with equal entries can be simplified to identical matrices, we say that matrices with equal entries are equal.
A=B
Now we can complete the definition.
Two matrices are equal if all of their corresponding entries are equal.
