GATE | GATE CS Mock 2018 | Question 45

Let

A = 

v1 = 

v2 = 

v3 = 

v4 = 

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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