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Diagonalize the matrix \( A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 3 & -1 \\ 0 & -1 & 3\end{array}\right] \)

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Diagonalize the matrix \( A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 3 & -1 \\ 0 & -1 & 3\end{array}\right] \)
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D = [ (1, 0, 0), (0, 2, 0), (0, 0, 4) ]
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