CUET Mathematics 2026 18th May Shift 1 PYQs

Consider the system of equation $x+y+3z=8$, $2x+y+bz=24$, $x+ay+3z=10$, then which of the following statements are True?

(A) The system of equations has a unique solution if $a=2, b=3$

(B) The system of equations is inconsistent if $a=1, b \in R$ be any real number.

(C) The system of equations is inconsistent if $a \neq 1$, and $b \neq 6$

(D) The system of equations has a unique solution if $a=4$ and $b=3$.

Choose the correct answer from the options given below:

Let A be the square matrix of order 3, then |kA|, where k is a scalar, is equal to:

If $A=\begin{bmatrix}2 & 0 & 0 \\ -1 & 2 & 3 \\ 3 & 3 & 5\end{bmatrix}$, then $A(\text{adj } A)$ is equal to :