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Math Help - show matrix is not diagonalisable WITHOUT finding eigenvalues

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    Last edited by learning; April 7th 2013 at 03:30 PM.
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    Re: show matrix is not diagonalisable WITHOUT finding eigenvalues

    Isn't it sufficient to observe that this is an anti-symmetric matrix? While PAP^{-1}, for A anti-symmetric, is not necessarily anti-symmetric, it can't be symmetric which a diagonal matrix trivially is.
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    Last edited by learning; April 7th 2013 at 03:30 PM.
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