GATE | Sudo GATE 2020 Mock II (10 January 2019) | Question 21

Let

Which of the following statements is correct ?
(A) v₁ and v₂ are eigenvectors of A
(B) v₁ and v₃ are eigenvectors of A
(C) v₂ and v₃ are eigenvectors of A
(D) v₃ and v₄ are eigenvectors of A

Answer: (A)
Explanation: v₁ and v₂ are eigenvectors of A.
Av₃ is not a multiple of v₃ and Av₄ is not a multiple of v₄.

Option (A) is correct.

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