If \( A=\left[\begin{array}{rrr}4 & -1 & -4 \\ 3 & 0 & -4 \\ 3 & -1...

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If \( A=\left[\begin{array}{rrr}4 & -1 & -4 \\ 3 & 0 & -4 \\ 3 & -1 & -3\end{array}\right] \), show that \( A^{2}=I_{3} \).
\( \mathrm{P} \)
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