ISRO Electrical Engineering (EE) 2013 - Question 73

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Characteristic roots of matrix A and A^T will be

  • A. Different
  • B. Same
  • C. Cannot say about roots
  • D. None of these

Answer: B. Same

Explanation: det(A − λI) = det((A − λI)ᵀ) = det(Aᵀ − λI), so matrix A and its transpose Aᵀ have the exact same characteristic roots.

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