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 Post subject: Property of EigenvaluesPosted: Sun, 17 Oct 2010 08:57:32 UTC
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Joined: Sun, 17 Oct 2010 08:50:25 UTC
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We were told(at collage) that if c* is the indeterminate of a charecteristic matrix A,then,|A|-c* is an eigenvalue.We were asked to prove this,but I cannot find any proof for this.Is this identity true at all?I cannot find it anywhere in the internet.

|A| is the determinent of A.

Thank you

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 Post subject: Re: Property of EigenvaluesPosted: Mon, 18 Oct 2010 00:48:58 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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mvabhay wrote:
We were told(at collage) that if c* is the indeterminate of a charecteristic matrix A,then,|A|-c* is an eigenvalue.We were asked to prove this,but I cannot find any proof for this.Is this identity true at all?I cannot find it anywhere in the internet.

|A| is the determinent of A.

Thank you

An eigenvalue of what?

The companion matrix has eigenvalues for each eigenvalue (with multiplicity) of A. need not be an eigenvalue of A, so you must be talking about some other matrix.

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 Post subject: Posted: Sat, 30 Oct 2010 07:18:32 UTC
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Joined: Sun, 17 Oct 2010 08:50:25 UTC
Posts: 2
Sorry for the trouble.It turns out I got the property wrong.

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