Appeared in: 2024 (2 sets)
(a) If A = $\begin{bmatrix} 1 & 2 & -3 \\ 2 & 0 & -3 \\ 1 & 2 & 0 \end{bmatrix}$, then find $A^{-1}$ and hence solve the following system of equations :
$x + 2y - 3z = 1$
$2x - 3z = 2$
$x + 2y = 3$
OR