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Q18.    Matrices A and B will be inverse of each other only if

            (A)     AB = BA

            (B)     AB = BA = 0

            (C)     AB = 0, BA = I

            (D)     AB = BA = I

Answers (1)

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We know that if A is a square matrix of order n and there is another matrix B of same order n, such that AB=BA=I, then B is inverse of matrix A.

In this case, it is clear that A is inverse of B.

Hence, matrices A and B will be inverse of each other only if AB=BA=I.

Option D is correct.

Posted by

seema garhwal

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