Diagonalize this Pauli spin matrix, [frac{hbar}{2}left(begin{array}{cc}0 & -i i & 0end{array}ight)] and find its eigenvalues.

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Diagonalize this Pauli spin matrix,

\[\frac{\hbar}{2}\left(\begin{array}{cc}0 & -i \\i & 0\end{array}ight)\]

and find its eigenvalues.

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