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Diagonalize the matrix
$A=\left(\begin{array}{lll} 1 & 0 & 2 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{array}\right)$
by finding the eigenvalues of $A$ listed in increasing order, the corresponding eigenvectors, a diagonal matrix $D$, and a matrix $S$ such that $A=S D S^{-1}$.
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