The Total solution for NCERT class 6-12
Matrices A and B willbe inverse of each other only if
A. AB = BA C. AB = 0, BA = I B. AB = BA = 0 D. AB = BA = I
We know that if A is asquare matrix of order m, and if there exists another squarematrix B of the same order m, such that AB = BA = I,then B is said to be the inverse of A. In thiscase, it is clear that A is the inverse of B.
Thus, matrices A and B willbe inverses of each other only if AB = BA = I.
Answer: D