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Question

Matrices A and B will be inverse of each other only if A. AB = BA C. AB = 0, BA = I B. AB = BA = 0 D. AB = BA = I

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Solution

Given data is,

A 1 =B B 1 =A

We know that, AA -1 =I AB=I (1)

Also,

BB -1 =I BA=I (2)

From equations (1) and (2), we get

AB=BA = I

Hence, the correct answer is (D).


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