Trace of a matrix equals sum of its determinants?

by samspotting
Tags: determinants, equals, matrix, trace
samspotting is offline
Feb8-09, 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.
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Hurkyl is offline
Feb8-09, 03:43 PM
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P: 16,101
What is the trace of a diagonal matrix? What are the algebraic properties of trace?
samspotting is offline
Feb9-09, 08:44 AM
P: 86
Ah I see, the trace is similarity invariant. thanks

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