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Math Help - Diagonalizable tensor product

  1. #1
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    Diagonalizable tensor product

    Hi everyone!

    I have to prove that if T : V \rightarrow V and S:V \rightarrowV are diagonalizable so T \otimesS is diagonalizable.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Re: Diagonalizable tensor product

    Choose an eigenbasis for each T,S and then form the standard tensor basis--I'm sure you'll find this is an eigenbasis for T\otimes S.
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