Following is the extract of the Balance Sheet of Vikalp Ltd. as per Schedule-III, Part-I of Companies Act as at 31st March, 2024 along with notes to accounts :
(i) The total face value of equity shares issued during the year 2023-24 was :
If \[ A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix}, \] find \( A^{-1} \).
Using \( A^{-1} \), solve the following system of equations:
\[ \begin{aligned} 2x - 3y + 5z &= 11 \quad \text{(1)} \\ 3x + 2y - 4z &= -5 \quad \text{(2)} \\ x + y - 2z &= -3 \quad \text{(3)} \end{aligned} \]