Find the Eigenvalues and Eigenvectors of the following matrix

\(\left[ {\begin{array}{*{20}{c}} { - 5}&2\\ 2&{ - 2} \end{array}} \right]\)

1
\(\left( { - 1, - 6} \right)\left\{ {\begin{array}{*{20}{c}} 1\\ 2 \end{array}} \right\}\left\{ {\begin{array}{*{20}{c}} 2\\ { - 1} \end{array}} \right\}\)
2
\(\left( {1,\;6} \right)\left\{ {\begin{array}{*{20}{c}} 1\\ { - 2} \end{array}} \right\}\left\{ {\begin{array}{*{20}{c}} { - 2}\\ 1 \end{array}} \right\}\)
3
\(\left( {1,\; - 6} \right)\left\{ {\begin{array}{*{20}{c}} { - 1}\\ { - 2} \end{array}} \right\}\left\{ {\begin{array}{*{20}{c}} 2\\ { - 1} \end{array}} \right\}\)
4
\(\left( { - 1,\;6} \right)\left\{ {\begin{array}{*{20}{c}} 1\\ 2 \end{array}} \right\}\left\{ {\begin{array}{*{20}{c}} 2\\ 1 \end{array}} \right\}\)
5
Not Attempted

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