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Suppose the matrix  has a certain complex no. λ ≠ 0 as an eigenvalue. Which of the following no. must also be an eigenvalue of A? 
  • a)
    λ + 20
  • b)
    λ - 20
  • c)
    20 - λ
  • d)
    -20 - λ
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Suppose the matrixhas a certain complex no.λ≠0 as an eigenva...
We know that trace (A) 
i.e. 
also know that det (A) = 
Now 

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Suppose the matrixhas a certain complex no.λ≠0 as an eigenva...
We know that trace (A) 
i.e. 
also know that det (A) = 
Now 

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Suppose the matrixhas a certain complex no.λ≠0 as an eigenva...
We know that trace (A) 
i.e. 
also know that det (A) = 
Now 

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Suppose the matrixhas a certain complex no.λ≠0 as an eigenvalue. Which of the following no. must also be an eigenvalue of A?a)λ + 20b)λ - 20c)20 - λd)-20 - λCorrect answer is option 'C'. Can you explain this answer?
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