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GATE | GATE CS Mock 2018 | Question 45

Let 
 

A = 



v1 = 



v2 = 



v3 = 



v4 =



Which of the following statements is correct ? 

 



(A)

v3 and v4 are eigenvectors of A
 

(B)

v2 and v3 are eigenvectors of A
 



(C)

v1 and v3 are eigenvectors of A
 

(D)

v1 and v2 are eigenvectors of A
 


Answer:(D)
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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