$A= \begin{bmatrix}3 & 2 \\0 & 1 \end{bmatrix}$
$ \therefore |A| = \begin{vmatrix}\mathbf{3} & \mathbf{2} \\{0} & 1 \end{vmatrix}=3 $
$A^{-1}= \frac {1}{|A|} adj A$
$adj A = \begin{bmatrix}1 & 0 \\ -2 & 3 \end{bmatrix}=\begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix}$
$A^{-1} = \frac {1}{3} \begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix} $
$A^{-3} = (A^{-1})^3$
$(A^{-1})^2 = \frac {1}{9} \begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix} \begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix} $
$ = \frac {1}{9} \begin{bmatrix}1 & -8 \\0 & 9 \end{bmatrix} $
$(A^{-1})^3 = \frac {1}{3} \begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix}\begin{bmatrix}1 & -8 \\0 & 9 \end{bmatrix}$
$= \frac {1}{27}\begin{bmatrix}1 & -2 \\0 & 3 \end{bmatrix}\begin{bmatrix}1 & -8 \\0 & 9 \end{bmatrix}$
$(A^{-3})= \frac{1}{{27}} \begin{bmatrix}1 & -26 \\0 & 27 \end{bmatrix}$
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