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Homework Help: Trace question

  1. May 22, 2006 #1
    I'm having trouble with this: Prove that if P is a linear map from V to V and satisfies P^2 = P, then trace P is a nonnegative integer.

    I know if I find the eignevalues , their sum equals trace P. But how do I find them here?

    any thoughts?

    Thanks
     
  2. jcsd
  3. May 22, 2006 #2

    Hurkyl

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    Start with a definition.
     
  4. May 22, 2006 #3

    matt grime

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    P satisfies the equation X^2-X=0....
     
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