In the given matrix \(\begin{bmatrix} 1 & -1 & 2 \\ 0 & 1 & 0 \\ 1 & 2 & 1…
2015
In the given matrix \(\begin{bmatrix} 1 & -1 & 2 \\ 0 & 1 & 0 \\ 1 & 2 & 1 \end{bmatrix}\) , one of the eigenvalues is 1. The eigenvectors corresponding to the eigenvalue 1 are
- A.
\(\left\{a\left(4,2,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}\) - B.
\(\left\{a\left(-4,2,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}\) - C.
\(\left\{a\left(\sqrt{2},0,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}\) - D.
\(\left\{a\left(- \sqrt{2},0,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}\)
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Correct answer: B
