CUET Mathematics 2025 21 May Shift 1 PYQs

If $A$ is a $3 \times 3$ matrix such that $|adj A| = 9$ and $|kA^{-1}| = 9$, then the value of $k$ are:

Let $A = \begin{bmatrix} \cos heta & -\sin heta \ \sin heta & \cos heta \end{bmatrix}$ and $I = \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$. If $A^T + A = I$, then

If $A$ and $B$ square matrices of order 3 such that $|A| = -1$, $|B| = 5$, then the value of $|2AB|$ is: