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.
 

Answers and Replies

  • #2
Hurkyl
Staff Emeritus
Science Advisor
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What is the trace of a diagonal matrix? What are the algebraic properties of trace?
 
  • #3
Ah I see, the trace is similarity invariant. thanks
 

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