CUET Mathematics 2025 2 June Shift 1 PYQs

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 the area of a triangle with vertices $(-3,0)$, $(3, 0)$ and $(0, k)$ is 9 sq. units, then k equals

If the system of equations $kx+y+z=0$, $x+ky+z=0$, $x+y+z=0$ has a non-zero solution, then the possible values of k are