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Thread: Diagonalizable tensor product

  1. December 7th 2012, 03:19 AM #1
    charles01
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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. December 9th 2012, 08:57 PM #2
    Drexel28
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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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