Re: Eigenvalue and eigenvectors of a 10x10 matrix

• To: mathgroup at smc.vnet.net
• Subject: [mg128082] Re: Eigenvalue and eigenvectors of a 10x10 matrix
• From: Frank K <fkampas at gmail.com>
• Date: Fri, 14 Sep 2012 00:23:55 -0400 (EDT)
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```On Thursday, September 13, 2012 3:43:09 AM UTC-4, Redeemed wrote:
> I want to do the eigen analysis of the matrix below
>
> mat := {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {-(1 + K + K1), -0.1, K, 0, 0,
>
>      0, 0, 0, K1, 0},
>
>    {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {K, 0, -(1 + 2 K + K1), -0.1, K, 0,
>
>      0, 0, K1, 0},
>
>    {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, K, 0, -(1 + 2 K + K1), -0.1,
>
>      K, 0, K1, 0},
>
>    {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, K,
>
>     0, -(1 + K + K1), -0.1, K1, 0},
>
>    {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {K1, 0, K1, 0, K1, 0, K1,
>
>     0, -(1 + 4 K1), -0.1}};
>
>
>
> I kept getting a long solution with some Root [] and #1
>
> I do not know what I am doing wrong
>
> Any help,
>
> Its very urgent
>
>
>
> Thanks

You're probably not doing anything wrong.  You're asking for a symbolic solution for a 10th order polynomial.  It's bound to complicated.

```

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