Show that the \( A=\left[\begin{array}{rrr}1 & 0 & -2 \\ -2 & -1 & ...

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Show that the \( A=\left[\begin{array}{rrr}1 & 0 & -2 \\ -2 & -1 & 2 \\ 3 & 4 & 1\end{array}\right] \) satisfies the equation
\( \mathrm{P} \)
W \( A^{3}-A^{2}-3 A-I=O \), and hence find \( A^{-1} \).
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