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Thread: Linear Matrix Equality and eigenvalues

  1. #1 Linear Matrix Equality and eigenvalues 
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    It is proved that:



    with , e : real matrixes ; : generic eigenvalue of A;


    It is to be proved that:



    with : positive scalar;


    Writing with ,

    we can prove , because .


    How to link eigenvalues of A to ?


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  3. #2  
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    We have to apply the proved result

    ( )

    with in place of .


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