We want to see if the given statement is true. (which is, by definition).
We define two inverse matrixes A and B as two matrixes that when multiplied are equal to a matrix with only ones in the diagonal.
This matrix with only ones in the diagonal (and zeros every else) is called the identity matrix.
Then the statement:
"If matrix A and B are inverses of each other, then A times B=I,where I is the identity matrix"
Is true by definition of inverse matrixes.
If you want to learn more, you can read:
https://brainly.com/question/4017205
