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Newsgroups: sci.math
From:
G Patel <gaya.pa... @gmail.com> Date: Wed, 4 Nov 2009 18:56:01 -0800 (PST)
Local: Thurs, Nov 5 2009 2:56 am
Subject: eigenvalues of A
true or false.... eigenvalues of A are same as eigenvalues of kA
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Newsgroups: sci.math
From:
Arturo Magidin <magi... @member.ams.org> Date: Wed, 4 Nov 2009 19:06:40 -0800 (PST)
Local: Thurs, Nov 5 2009 3:06 am
Subject: Re: eigenvalues of A
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
What is k, a scalar? If so, then:
(i) What are the eigenvalues of a diagonal matrix?
If k is not a scalar, then what is it?
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Newsgroups: sci.math
From:
Gerry Myerson <ge... @maths.mq.edi.ai.i2u4email> Date: Thu, 05 Nov 2009 14:09:20 +1100
Local: Thurs, Nov 5 2009 3:09 am
Subject: Re: eigenvalues of A
In article ... @t2g2000yqn.googlegroups.com>, ... @gmail.com> wrote:
> true or false.... eigenvalues of A are same as eigenvalues of kA
true if k = 1 and in some other fairly trivial cases, false most of
> (because if v is eigenvector for A, then kv is eigenvector for kA)
I'm not familiar with this use of the word, "because." -- ... @maths.mq.edi.ai) (i -> u for email)
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Newsgroups: sci.math
From:
G Patel <gaya.pa... @gmail.com> Date: Wed, 4 Nov 2009 19:48:07 -0800 (PST)
Local: Thurs, Nov 5 2009 3:48 am
Subject: Re: eigenvalues of A
On Nov 4, 9:56 pm, G Patel <gaya.pa... @gmail.com> wrote:
> true or false.... eigenvalues of A are same as eigenvalues of kA
if c is eigenvalue of A, then Ax = cx for nonzero x, multiply both
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Newsgroups: sci.math
From:
Arturo Magidin <magi... @member.ams.org> Date: Wed, 4 Nov 2009 20:25:25 -0800 (PST)
Local: Thurs, Nov 5 2009 4:25 am
Subject: Re: eigenvalues of A
On Nov 4, 9:48 pm, G Patel <gaya.pa... @gmail.com> wrote:
> On Nov 4, 9:56 pm, G Patel <gaya.pa
... @gmail.com> wrote:
> > true or false.... eigenvalues of A are same as eigenvalues of kA
> if c is eigenvalue of A, then Ax = cx for nonzero x, multiply both
Note that the vector on the left side of "Ax=cx" is the *same* as the
Question: is the vector on the left side of your "(kA)x = c(kx)" the
And to put it even more plainly, *again*:
What are the eigenvalues of, say, the identity matrix?
What are the eigenvalues of k times the identity?
PS: You are utterly confused; go talk to your professor because you
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