Q18Multiple correct3 Marks3 Sep 2023

Which of the following statement(s) about similar matrices is/are true?

A

Let T : V -> W be a linear transformation. If A and B are two different matrices corresponding to T, then A and B must be similar.

B

If A and B are n x n matrices such that $\text{det}(A)$ = $\text{det}(B)$ = 1, then A and B are similar matrices.

C

If A is similar to identity matrix, then A is a scalar matrix.

D

If A is invertible, then AB and BA are similar.