If $A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix}$, find $A^{-1}$ . Use it to solve the following system of equations: $\begin{array}{1 1} 2x-3y+5z=16 \\ 3x+2y-4z = -4 \\ x+y-2z=-3 \end{array}$

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