Consider the matrix $\begin{bmatrix} 1 & k \\ 2 & 1 \end{bmatrix}$, where k is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix?

$\begin{bmatrix} 1 \\ -\sqrt{2/k} \end{bmatrix}$

$\begin{bmatrix} 1 \\ \sqrt{2/k} \end{bmatrix}$

$\begin{bmatrix} \sqrt{2k} \\ 1 \end{bmatrix}$

$\begin{bmatrix} \sqrt{2k} \\ -1 \end{bmatrix}$

GATE 2024 Electronics & Communication Q55 — Electronics and Communication Engineerin

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Electronics and Communication Engineering · Linear Algebra - Eigenvalues and Eigenvectors

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Linear Algebra - Eigenvalues and Eigenvectors has appeared in GATE Electronics & Communication 2 times across 2 years (2023, 2024).

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