Q15

MCQ1 mark, −0.33

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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