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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Linear independence of eigenvectors
Replies: 7   Last Post: Dec 6, 2012 1:17 PM

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Shmuel (Seymour J.) Metz

Posts: 3,079
Registered: 12/4/04
Re: Linear independence of eigenvectors
Posted: Dec 5, 2012 4:44 PM
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In <ai9a0uFb2f3U1@mid.individual.net>, on 12/05/2012
at 04:11 PM, José Carlos Santos <jcsantos@fc.up.pt> said:

>A classical Linear Algebra exercise says: prove that _n_
>eigenvectors of an endomorphism of some linear space with _n_
>distinct eigenvalues are linear independent.

I hope that you mean that the eigenvalues associated with the n
eigenvectors are distinct, not just that there are n distinct
eigenvalues of the endomorphism.

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Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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