CUET Mathematics 2025 2 June Shift 1 PYQs

If $\begin{bmatrix} x-y & t \\ 2x-y & w \end{bmatrix} = \begin{bmatrix} -1 & 2 \\ 0 & 1 \end{bmatrix}$, then $2x + y + 3t + w$ 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:

If A is a square matrix and I is the identity matrix of same order such that $A^2 = I$, then $(A - I)^3 + (A + I)^3 - 3A$ is equal to