engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Linear Algebra Eigenvalues
Consider the matrix \(M = \left[ {\begin{array}{*{20}{c}} 1&{ - 1}&0\\ 1&{ - 2}&1\\ 0&{ - 1}&1 \end{array}} \right]\). One of the eigenvectors of M is
1
\(\left[ {\begin{array}{*{20}{c}} 1\\ { - 1}\\ 1 \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} 1\\ 1\\ { - 1} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} { - 1}\\ 1\\ { - 1} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} 1\\ 1\\ 1 \end{array}} \right]\)