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Finding Jordan forms over the complex numbers

  1. Dec 14, 2009 #1
    So I am trying to compute all possible Jordan forms over the complex numbers given a minimal polynomial. My question is this: If the roots of the minimal polynomial are both real, should I proceed as if all of the possible forms are over real numbers?
     
  2. jcsd
  3. Dec 15, 2009 #2

    HallsofIvy

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    The Jordan forms are always matrices with the eigenvalues on the diagonal and either "0" or "1" (in some notations, below) above each eigenvalue. If all the eigenvalues are real, I can see no way to introduce complex numbers into them.
     
  4. Dec 19, 2009 #3
    chuckles, do you by any chance go to Michigan State?
     
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