CUET Mathematics 2025 26 May Shift 2 PYQs

If 3 $\begin{bmatrix} x \ y \\z\ w \end{bmatrix}$ = $\begin{bmatrix} x & 6 \\ -1 & 2w \end{bmatrix}$ + $\begin{bmatrix} \frac{4}{z+w} & \frac{x+y}{3} \end{bmatrix}$, then the values of x, y, z and w are

If a matrix $A = \begin{bmatrix} 5 & -8 \\ -3 & 5 \end{bmatrix}$ then which of the following is / are TRUE?

(A) $|A| = 1$

(B) $A$ is a singular matrix.

(C) $-2A = \begin{bmatrix} 10 & -16 \\ -6 & 10 \end{bmatrix}$

(D) $AI = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}$ $I$ is an identity matrix of order 2.

Choose the correct answer from the options given below:

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: