MAE101_-_Test2_-_SU_2024_2081.webp

Question: 114
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)E. None of the other choices is correct

Given that \lambda=0 is an eigenvalue of the matrix
\begin{matrix}1&1&0\\ 1&1&2\\ 1&1&2\end{matrix}]
Find a set of basic eigenvectors corresponding to this eigenvalue 0.
(i) [\begin{matrix}1&1&0\end{matrix}]^{T}
(ii) [1-10]^{T}
(iii) [\begin{matrix}1&0&-1\end{matrix}]^{T}
(iv) [1-1 ] and [\begin{matrix}1&0&-1\end{matrix}]^{T}