In the given matrix \(\begin{bmatrix} 1 & -1 & 2 \\ 0 & 1 & 0 \\ 1 & 2 & 1…

GATE · 2015 · CS · Set 3 · Computer Science & IT

In the given matrix  [1−12010121]\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

  1. A.

    {a(4,2,1)∣a≠0,a∈R}\left\{a\left(4,2,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}

  2. B.

    {a(−4,2,1)∣a≠0,a∈R}\left\{a\left(-4,2,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}

  3. C.

    {a(2,0,1)∣a≠0,a∈R}\left\{a\left(\sqrt{2},0,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}

  4. D.

    {a(−2,0,1)∣a≠0,a∈R}\left\{a\left(- \sqrt{2},0,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}

Attempted by 89 students.

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…