Re: Symbolic question

[Fumihiro Chiba]

Hello, Pierre

Maxima may solve your problem.

Introduction to Maxima:
http://maxima.sourceforge.net/docs/intromax/intromax.html
Matrix calculations:
http://maxima.sourceforge.net/docs/intromax/intromax.html#tth_sEc6

Maxima site:
http://maxima.sourceforge.net/

-----------------------
Fumihiro CHIBA
<http://web.me.com/chibaf/>

On 2009/08/05, at 19:44, FrenchLeaf wrote:

> Hello,
>
> I want to resolve the following problem :
>
> Det(alpha*F1 +(1 - alpha)*F2) == a3*lambda + a2*lambda + a1 *lambda  
> +a0 = 0
>
> F1 and F2 are 3*3 matrix. Alpha is a single value.
> The problem is from the formula of the right of I can obtain the  
> a3,a2,a1,a0
> factor to compute the lambda roots.
>
> I know that is feasible in Maple, but I do not know How, and I did  
> not have
> maple...
>
> I have test to find the solution with Xcas (solve), but Xcas seems  
> cannot
> handle it.
>
> I have start with the following idea :
> f = det( (alpha* [ [a1,b1,c1] , [d1,e1,f1] ,  [g1,h1,i1] ]) * ( (1- 
> alpha) *
> [ [a2,b2,c2] , [d2,e2,f2] ,  [g2,h2,i2] ] ) );
> g = a3*lambda + a2*lambda + a1 *lambda +a0;
>
> => How to try to solve the system to identify the three A factor now ?
>
> Thanks in advance for your suggestion ;)
> Pierre.
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