MAE101_-_Test2_-_SU_2024_2081.webp

Question: 83
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
E. None of the other choices is correct
Given that \lambda=9 is an eigenvalue for the matrix [\begin{matrix}5&2&-2\\ 2&5&-2\\ -2&-2&5\end{matrix}] Find basic eigenvectors corresponding to \lambda=9.
(i) [11-1]
(ii) [1-1-1]^{\top}
(iii) [\begin{matrix}1&1&1\end{matrix}] and [\begin{matrix}0&1&1\end{matrix}]^{T}
(iv) [1~1~-1]^{\top} and [\begin{matrix}1&0&1\end{matrix}]^{T}