CUET Mathematics 2026 25th May Shift 1 PYQs

Let $A = (a_{ij})$ and $B = (b_{ij})$ are square matrices of same order.

(A) The number of possible matrices of order $2 \times 2$ with entries $-1, 0, 1$ is 81.

(B) $A + A'$ is skew symmetric matrix

(C) $A \cdot A^{-1} = 0$, $|A| \neq 0$

(D) A is skew symmetric matrix if $a_{ij} = -a_{ji}$ for all $i, j$

(E) $(AB)' = A'B'$

Choose the correct answer from the options given below :

If $\begin{vmatrix} -1 & a & a^2 \\ -1 & b & b^2 \\ -1 & c & c^2 \end{vmatrix}^2 = \lambda$ and $a - b = 1$, $b - c = 2$ and $c - a = 3$, then the value of $\lambda$ is

Which of the following matrices are invertible?

(A) $\begin{bmatrix} 2 & 2 \\ 3 & 3 \end{bmatrix}$

(B) $\begin{bmatrix} 2 & 3 \\ 3 & 2 \end{bmatrix}$

(C) $\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix}$

(D) $\begin{bmatrix} 3 & 3 \\ 3 & 3 \end{bmatrix}$

Choose the correct answer from the options given below: