engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Linear Algebra Matrix Algebra
Which of the following is not an Eigen vector of the matrix \(\begin{bmatrix} 1 & 1 & 3 \\\ 1 & 5 & 1 \\\ 3 & 1 & 1 \end{bmatrix} ?\)
1
\(\begin{bmatrix} 1 \\\ 0 \\\ -1 \end{bmatrix}\)
2
\(\begin{bmatrix} -3 \\\ 0 \\\ 3 \end{bmatrix}\)
3
\(\begin{bmatrix} 3 \\\ 0 \\\ -3 \end{bmatrix}\)
4
\(\begin{bmatrix} 1 \\\ 0 \\\ 1 \end{bmatrix}\)