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One of the eigenvectors of the matrix  is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
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One of the eigenvectors of the matrix isa)b)c)d)Correct answer is opti...
The characteristic equation ∣A − λD = 0
Corresponding to λ = 4, we have
= 0
 = 0 which gives only one independent equation,
-9x + 2y = 0
∴ x/2 = y/9 gives eigen vector (2,9)
Corresponding to λ = −3,
which gives -x + y = 0 (only one independent equation)
∴ x/1 = y/1 which gives (1,1)
So, the eigen vectors are 
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One of the eigenvectors of the matrix isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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