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Suppose (λ1X) be an eigen pair consisting of an eigenvalue and its correx eigenvector for a real matrix |λI - A| = λ3 + 3λ2 + 4λ + 3. Let I be a (n x n) unit matrix, which one of the following statement is not correct?
  • a)
    rank of (A - λl) is less than n
  • b)
    For matrix Am, m being a positive integer (λm, X) is not an eigenpair
  • c)
    If AT = A-1 then |λ| = 1
  • d)
    If AT = A then λ is real
Correct answer is option 'B'. Can you explain this answer?
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Option C is correct.
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Suppose (λ1X) be an eigen pair consisting of an eigenvalue and its correx eigenvector for a real matrix |λI - A| = λ3 + 3λ2 + 4λ + 3. Let I be a (n x n) unitmatrix, which one of the following statement is not correct?a)rank of (A - λl) is less than nb)For matrix Am, m being a positive integer (λm, X) is not an eigenpairc)If AT= A-1 then |λ| = 1d)If AT= A then λ is realCorrect answer is option 'B'. Can you explain this answer?
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