Question

If AB=BA= I then write the relation between matrix A and matrix B​

Answer 1

If AB = BA = I, then B is inverse of A and vice-versa.

Explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by
`A^(-1)`.

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.