If \( A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right] \...

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If \( A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right] \) and \( I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \), then prove that \( A^{2}-A+2 I=O \).
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