CUET Mathematics 2025 14 May Shift 1 PYQs

If $\begin{bmatrix} x-y & 0 \\ x+y & 1 \end{bmatrix}$ is an identity matrix and $\begin{bmatrix} x & y \\ z & x \end{bmatrix}$ is a singular matrix then:

Which of the following statements are correct?

(A) If A is a square matrix, then $[A^2] = [A]^2$.

(B) If A and B are square matrices of the same order, then det (AB) = det (A) + det (B).

(C) If A is a square matrix of order 3 and $|A|=2$, then the value of $|-3A|$ is 54.

(D) If the matrix $\begin{bmatrix} 5 & -x \\ 3 & x \end{bmatrix} \begin{bmatrix} x \\ 5 \end{bmatrix}$ is singular, then the value of x is 7/2.

Choose the correct answer from the options given below:

The value of $\begin{vmatrix} 7! & 8! & 9! \\ 8! & 9! & 10! \\ 9! & 10! & 11! \end{vmatrix}$ is: