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`

A

AB=BA

B

AB=BA=O

C

AB=O,BA=I

D

AB=BA=I

Text Solution

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The correct Answer is:

D

A and B are inverses of each other only when AB=BA=I

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