Exercise 4.5.15

If \(A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix}\), find \(A^{-1}\). Using \(A^{-1}\), solve the system of equations: \(2x - 3y + 5z = 11\) \(3x + 2y - 4z = -5\) \(x + y - 2z = -3\)