Trace of a matrix equals sum of its determinants?

  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. Hurkyl

    Hurkyl 15,987
    Staff Emeritus
    Science Advisor
    Gold Member

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