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: $$2x-3y+5z=11$$ $$3x+2y-4z = -5$$ $$x+y-2z = -3$$

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