engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Linear Algebra Eigenvectors
Consider the matrix \(A = \left[ {\begin{array}{*{20}{c}} 1&{ - 1}&0\\ { - 1}&2&{ - 1}\\ 0&{ - 1}&1 \end{array}} \right]\)
Which of the following are the Eigenvectors of the matrix (A3 + 5I)?1
\(\left[ {\begin{array}{*{20}{c}}
1\\
5\\
1
\end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}}
1\\
1\\
1
\end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}}
1\\
0\\
{ - 1}
\end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}}
1\\
{ - 2}\\
1
\end{array}} \right]\)