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Trace of a matrix equals sum of its determinants?

  1. Feb 8, 2009 #1
    If a matrix is diagonalizable, how does its trace equal the sum of its eigenvalues?

    I can't find a proof for this anywhere.
     
  2. jcsd
  3. Feb 8, 2009 #2

    Hurkyl

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    What is the trace of a diagonal matrix? What are the algebraic properties of trace?
     
  4. Feb 9, 2009 #3
    Ah I see, the trace is similarity invariant. thanks
     
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