Register to reply

Trace of a matrix equals sum of its determinants?

by samspotting
Tags: determinants, equals, matrix, trace
Share this thread:
samspotting
#1
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.
Phys.Org News Partner Science news on Phys.org
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
Hurkyl
#2
Feb8-09, 03:43 PM
Emeritus
Sci Advisor
PF Gold
Hurkyl's Avatar
P: 16,091
What is the trace of a diagonal matrix? What are the algebraic properties of trace?
samspotting
#3
Feb9-09, 08:44 AM
P: 86
Ah I see, the trace is similarity invariant. thanks


Register to reply

Related Discussions
Trace(matrix) = 0 and the dimension of subspace Calculus & Beyond Homework 1
Linear Algebra - invertible matrix; determinants Calculus & Beyond Homework 2
Determinants of a matrix Precalculus Mathematics Homework 7
Determinants 4x4 matrix Precalculus Mathematics Homework 2
Determinants and Matrix Inverses Proofs Linear & Abstract Algebra 6