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Let the characteristic equation of matrix  M be λ2 - λ - 1 = 0 . Then 
  • a)
    M-1 does not exist.
  • b)
    exists but cannot be determined from the data.
  • c)
  • d)
  • e)
    M-1 exists and can be determined from the data but the choices (c) and (d) are incorrect.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let the characteristic equation of matrix M beλ2-λ - 1 =...
I think we can solve using Cayley- Hamilton Theorem

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Let the characteristic equation of matrix M beλ2-λ - 1 = 0 . Thena)M-1does not exist.b)exists but cannot be determined from the data.c)d)e)M-1exists and can be determined from the data but the choices (c) and (d) are incorrect.Correct answer is option 'D'. Can you explain this answer?
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