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If A is a square matrix of order m, then the matrix B of same order is called the inverse of the matrix A, if

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AB = A

BA = A

AB = –BA

AB = BA = I

answer is C.

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Detailed Solution

If A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is called the inverse matrix of A. In this case A is said to be invertible.

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