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Find the basis in which the operator \(A\) on \(C^3\) defined by
\begin{equation*}
A\begin{pmatrix} x_1 \\ x_2 \\x_3 \end{pmatrix}
= \begin{pmatrix} x_2 \\ x_3 \\x_1 \end{pmatrix}
\end{equation*}
is diagonal.
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4727:Diamond Point
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