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Shamsun posted an Question
November 18, 2020 • 10:01 am 30 points
  • IIT JAM
  • Mathematics (MA)

Is the question correct.. if it is thn plz explain

2 Answer(s) Answer Now
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  • 6 Comments
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    Piyush pachauri

    Any doubt then you can ask

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    but identity matrix is diagonalizable but it doesn't satisfy the condition (b)

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    yes you are correct.

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    I forgot it was 'iff' condition , So None of the option is correct.

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    yes

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    .. question should be for 'if' not for 'iff'

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    Yes , That would've been better Question.

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    Piyush pachauri Best Answer

    Take A = diag(2,3) , Trace = 5 > 2 √det , And A is diagonalizable so option a is discarded , So option B is correct.

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    Piyush pachauri best-answer

    Option C and D can be easily discarded. Take A = (0,1,0,0) row wise . det = trace=0 , Not diagonalizable.

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