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Math Help - Challenge Problem

  1. #1
    Senior Member Shanks's Avatar
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    Challenge Problem

    Find the suffice and necessary condition for two complex matrixs having at least one common eigenvector .
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  2. #2
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    Quote Originally Posted by Shanks View Post
    Find the suffice and necessary condition for two complex matrixs having at least one common eigenvector .

    More than challenging this is a research-level result, and it was proved just 25 years ago: it's called Shemesh Criterion and you can google it, but be warned: it's a rather difficult concept.

    Tonio
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