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Official PYQ · 2024

GATE EC 2024 Set 1 Q45 — Linear Algebra

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​​​​​Consider the matrix [1k21]\left[\begin{array}{ll}1 & k \\ 2 & 1\end{array}\right], where kk is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix?

 

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Answer: A;B

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