Q5Single correct5 Marks21 Dec 2025

Let A = $\begin{bmatrix} 1 & 2 & 3 \\ 3 & 2 & 1 \\ a & a & a \\ 2 & 4 & k \end{bmatrix}$ . Choose the correct option.

A

If a = 0, and rank A = 2, then k = -6.

B

If a = 0 and k = 6, the rank of A = 3.

C

If a = 1 and k in R, then rank A = 3.

D

If a = 1 and rank A = 2, then k = 6.