CUET Mathematics 2025 19 May Shift 1 PYQs

Let A be a matrix such that $A = \begin{bmatrix} 1 & 2 \\ -2 & 3 \end{bmatrix}$. Then which of the following are TRUE?

(A) A is non-singular matrix

(B) $A^T = A$

(C) A is not invertible matrix

(D) A is not skew-symmetric matrix

Choose the correct answer from the options given below:

The number of all possible matrices of order $2 \times 3$ with entries -1 or 1 is

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: