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Matrix of A and B will be inverse of each other only if (a).BA=AB (b)AB=BA=0 (c)AB=0,BA=I (d)AB=BA=I


Chandra 30th Aug, 2020
Answer (1)
Kritika 30th Aug, 2020

Hello Aspirant,

We know that if A is a square of order m, and if there exists another square matrix B of the same order m, such that AB=I, then B is said to be the inverse of A.In this case, it is clear that A is the inverse of B.

Thus , matrices A and B will be inverses of each other only if AB=BA=I. option D is your answer

Hope it helped

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