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LinearSolve and System Equation


Hello evrybody,

I'm doing some numerical results of a system of equations Sum[(A[l,n] + B[l,n] ksi)Psimoins[n],{l,o,L}]== Sum[C[l,n] Psiplus[n],{l,0,L}]

I want to find a symbolic result in this form:

Psimoins[n]=Psiplus[n]+Sum[M[n,n']Psiplus[n'],{n',0,n}]

So How to reduce the first form to the second. I'm in mess and I find some numerical result with initial values of Psiplus, A, B and C but not symbolic one.

Psiplus and Psimoins are matrices with indices n and l.
A, B and C and functions of parametres n and l. 

So please can you help?!!!!

regards 
Oumaimaa


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