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kirby
 Post subject: Stuck on solving this equation
PostPosted: Tue, 12 May 2009 15:06:19 UTC 
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Joined: Wed, 24 Sep 2008 04:29:36 UTC
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Hey.

Im a bit stuck on solving this equation

(0,1) = a1 (1,1) + a2(2,-2) (the numbers in brackets are eigenvectors)

How do I obtain a1 and a2?
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TIMsetsFIRE
 Post subject: Re: Stuck on solving this equation
PostPosted: Tue, 12 May 2009 15:29:56 UTC 
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Joined: Mon, 27 Apr 2009 15:11:34 UTC
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kirby wrote:
Hey.

Im a bit stuck on solving this equation

(0,1) = a1 (1,1) + a2(2,-2) (the numbers in brackets are eigenvectors)

How do I obtain a1 and a2?


do the following computation.

a1 = (1,1).(0,1) / ||(1,1)||^2

a2 = (2,-2).(0,1) / ||(2,-2)||^2

Here . is the dot product and || . || is the norm. Hope this helps.
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kirby
 Post subject:
PostPosted: Tue, 12 May 2009 15:41:07 UTC 
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I just solved it via simultaneous equations but thanks anyway :)
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