Find the eigen vector corresponding to Largest eigen value of matrix A = \(\left[ {\begin{array}{*{20}{c}} 1&{ - 1}&1\\ 1&{ - 1}&1\\ { - 1}&1&1 \end{array}} \right]\)

1
\(\left[ {\begin{array}{*{20}{c}} 1\\ 1\\ 1 \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} 1\\ 2\\ 1 \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} 2\\ 1\\ 1 \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} 2\\ 1\\ 2 \end{array}} \right]\)
5
Not Attempted

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