Q37

MSQ2 marks

Let $A$ be an $n \times n$ matrix over the set of all real numbers $\mathbb{R}$ . Let $B$ be a matrix obtained from $A$ by swapping two rows. Which of the following statements is/are TRUE?

(A)

The determinant of $B$ is the negative of the determinant of $A$

(B)

If $A$ is invertible, then $B$ is also invertible

(C)

If $A$ is symmetric, then $B$ is also symmetric

(D)

If the trace of $A$ is zero, then the trace of $B$ is also zero

Loading…