Q3Multiple correct6 Marks26 Oct 2025

Let $A$ be a square matrix of order $n>1$. Select all the statements which imply that $\det(A)=0$.

A

All the entries of one of the columns of $A$ are zero.

B

One of the columns of $A$ is a scalar multiple of another column.

C

The diagonal entries of $A$ are all zero.

D

The determinant of the transpose of $A$ is zero.

E

$A^2=0$.