Q17Multiple correct2 Marks3 Sep 2023

Which of the following statement(s) is/are true for an n x n matrix A?

A

Let $\text{det}(A)$ != 0. Then determinant of A is unaltered by swapping any two rows of A.

B

Determinant of A is unaltered when a multiple of a row is added to another row.

C

For any real number t, $\text{det}(tA)$ = t^n $\text{det}(A)$.

D

If D = P^-1 A P, then D = A.