CUET Mathematics 2026 30th May Shift 1 PYQs

The value/s of '$\lambda$' for which the system of equations

$\lambda x + 3y - z = 1$

$x + 2y + z = 2$

$-\lambda x + y + 2z = -1$

has unique solution is/are:

(where $R$ is set of real numbers)

For a matrix $A = \begin{bmatrix} a & -1 & b \\ -2 & 1 & -1 \\ 1 & 0 & 2 \end{bmatrix}$, $C_{32} = -1$ and $C_{33} = 3$, where $C_{ij}$ is the cofactor of element $a_{ij}$ in $A$. Then

Let A be a non-singular square matrix of order 3 and $|adj A| = 5$ then $|A|$ is equal to