GATE | GATE CS Mock 2018 | Question 45

Let


A = \begin{bmatrix}  4 & -2 & 1 \\  2 & 0 & 1 \\  2 & -2 & 3 \end{bmatrix} 

v1 = \begin{bmatrix}  1  \\  1  \\  0  \end{bmatrix} 

v2 = \begin{bmatrix}  0  \\  1  \\  2  \end{bmatrix} 

v3 = \begin{bmatrix}  1  \\  2  \\  -1  \end{bmatrix} 

v4 = \begin{bmatrix}  1  \\  1  \\  4  \end{bmatrix} 

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.


Quiz of this Question



My Personal Notes arrow_drop_up


Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.