CUET Mathematics 2025 13 May Shift 2 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

The system of equations $x + y - z = 1, 3x + y - 2z = 3, x - y + 4z = 1$ has infinite number of solutions if $\lambda$ is equal to

If A and B are matrices of same order, then $(AB^T - BA^T)$ is always