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Following the steps as in the theoretical treatment of perturbation theory, find eigenvectors and eigenvalues of the matrix
 $$\left[ \begin{array}{rrr}        1&\epsilon& 0 \\         \epsilon & 1&-\epsilon \\          0 & -\epsilon& 2    \end{array}\right] $$ upto the lowest non-vanishing order in $\epsilon$.

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4727:Diamond Point

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