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Topic: eigenvalues of A
Replies: 4   Last Post: Nov 4, 2009 11:25 PM

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Arturo Magidin

Posts: 786
Registered: 8/24/06
Re: eigenvalues of A
Posted: Nov 4, 2009 10:06 PM
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On Nov 4, 8:56 pm, G Patel <gaya.pa...@gmail.com> wrote:
> true or false.... eigenvalues of A are same as eigenvalues of kA
> (because if v is eigenvector for A, then kv is eigenvector for kA)


What is k, a scalar?

If so, then:

(i) What are the eigenvalues of a diagonal matrix?
(ii) If A is a diagonal matrix, what is kA?
(iii) What are the eigenvalues of kA, then?

If k is not a scalar, then what is it?

--
Arturo Magidin



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