Question

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

Options

• AB = BA

• AB = 0, BA = 1

• AB = BA = 0

• AB = BA = 1

Answer 1

AB = BA = 1

Explanation:

Because if 'A' is a square matrix of order m and another square matrix B of the same order m exists such that AB = BA = 1, then 'B' is said to be the inverse of A. It is obvious that 'A' is the inverse of B in such a core.

Thus, matrices 'A' and 'B' will be inverses only if AB = BA = 1.