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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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Jose Carlos Santos

Posts: 4,863
Registered: 12/4/04
Re: Linear independence of eigenvectors
Posted: Dec 6, 2012 2:44 AM
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On 05-12-2012 21:44, Shmuel (Seymour J.) Metz wrote:

>> 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.

Yes, of course.

Best regards,

Jose Carlos Santos

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