Trace of a matrix equals sum of its determinants?by samspotting Tags: determinants, equals, matrix, trace 

#1
Feb809, 03:42 PM

P: 86

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
Feb809, 03:43 PM

Emeritus
Sci Advisor
PF Gold
P: 16,101

What is the trace of a diagonal matrix? What are the algebraic properties of trace?




#3
Feb909, 08:44 AM

P: 86

Ah I see, the trace is similarity invariant. thanks



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