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Matrices A and B will be inverse of each...

Matrices A and B will be inverse of each other only if (A) `A B=B A`(B) `A B=B A=0`(C) `A B=0,B A=I`(D) `A B=B A=I`

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To determine when matrices A and B are inverses of each other, we need to analyze the properties of matrix multiplication and the definition of an inverse matrix. ### Step-by-Step Solution: 1. **Definition of Inverse Matrices**: - For two matrices A and B to be inverses of each other, the following must hold true: \[ AB = I \quad \text{and} \quad BA = I ...
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