CUET Mathematics 2025 19 May Shift 1 PYQs

If A is a square matrix of order 3 such that $|A| = 3$, then $|adj(adj A)|$ is equal to:

If $A = \begin{bmatrix} 0 & 1 & 3 \\ 1 & 2 & x \\ 2 & 3 & 1 \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} \frac{1}{2} & -4 & \frac{5}{2} \\ \frac{1}{2} & 3 & \frac{3}{2} \\ -\frac{1}{2} & 3 & -\frac{1}{2} \\ -\frac{1}{2} & y & \frac{1}{2} \end{bmatrix}$, then value of $8x + 5y$ is:

The matrix $\begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}$ is a

(A) Null matrix

(B) Unit matrix

(C) Symmetric matrix

(D) Skew-symmetric matrix

Choose the correct answer from the options given below: