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Math Help - Linear Algebra - Minimal polynomial

  1. #1
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    Question Linear Algebra - Minimal polynomial

    Hello,

    How can I prove the following claim:
    Let A be a matrix n x n, on the Rational field. (A belongs to Mn(R))
    => fA | mA^n

    (fA = the characteristic polynomial of the matrix A, mA = the minimal polynomial of A)



    thank you very much
    David
    Last edited by DavidMojo; July 19th 2010 at 05:05 AM.
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