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Sudhanshu Ranjan posted an Question
August 11, 2020 • 02:12 am 30 points
  • CSIR NET
  • Mathematical Sciences

Is symmetric matrix always diagonalizable?

Is symmetric matrix always diagonalizable? Please give proper explaination.

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  • Shashi ranjan sinha best-answer

    Real symmetric matrices are always diagonalizable but complex symmetric matrices need not.... above is the counter example

  • Shashi ranjan sinha

    No all symmetric matrices are not diagonalizable.

  • comment-profile-img>
    Deepak singh 1

    see proof , it may help you

    cropped-1988391363.jpg
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    But other sir example says that Complex symmetric need not diagonalizable

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    This proof is for real symmetric?

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    yeah it's result for real ,

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    in complex matrix , every matrix need not be diagonalizable

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    see

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    Ok thank you

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