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Thread: commuting matrices

  1. #1
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    commuting matrices

    Hi,
    Do non-scalar commuting matrices share the same set of eigenvalues?
    Thank's in advance
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  2. #2
    MHF Contributor

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    Re: commuting matrices

    Two diagonal matrices always commute but "share eigenvalues" only if the numbers on their diagonals are the same (since those numbers are their eigenvalues).
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