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Math Help - about diagonalisable

  1. #1
    Senior Member
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    Feb 2008
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    about diagonalisable




    also not sure about when a matrix is diagonalisable.
    my director only tells that if the geo. multiplicity equal to algebraic multiplicity.

    but... any other idea about when :

    it is not diagonalisable over C
    not diagonalisable over R
    not diagonalisable over R , but diagonalisable over C
    diagonalisable over R but not have an orthonormal basis of eigenvectors
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