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Re: Eigenvalue and eigenvectors of a 10x10 matrix


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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