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Given the matrix A = .
Eigenvectors of matrix A are
  • a)
    [1, 1], [2, 1]
  • b)
    [1, 2], [2, 3]
  • c)
    [1, 1], [2, 2]
  • d)
    [2, 2], [3, 3]
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Given the matrix A = .Eigenvectors of matrix A area)[1, 1], [2, 1]b...
For eigenvalues
Or (8 – λ)(2 – λ) + 8 = 0
Or ( λ – 4)(λ – 6) = 0
Or λ = 4, 6
Corresponding to λ = 4, we have
We get only one independent equation
4x1 – 4x2 = 0
Or x1/1 = x2/1 giving eigenvector [1, 1]
Corresponding to λ = 6, we have
We get only one independent equation
2x1 – 4x2 = 0
Or x1/2 = x2/1 giving eigenvector [2, 1]
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Given the matrix A = .Eigenvectors of matrix A area)[1, 1], [2, 1]b)[1, 2], [2, 3]c)[1, 1], [2, 2]d)[2, 2], [3, 3]Correct answer is option 'A'. Can you explain this answer?
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