Willy1 science forum beginner
Joined: 03 Feb 2006
Posts: 2

Posted: Fri Feb 03, 2006 11:08 am Post subject:
Linear System of Equations



Hello!
I have a great problem. I have a set of 3n3 linear equations in 2k1
variables and I would like to prove that (0,0,...,0) is the only
solution in Z/2Z. The equations are:
$\sum_{j=0}^{i3}{C_{i1}^{j} x_{i+j+1}}+ix_{2i1}=0$ pour $3\leq i\leq
n1$,
$\sum_{j=0}^{i1}{C_{i1}^{j} x_{i+j}}=0$ pour $1\leq i \leq n$,
$x_i+x_{2ni}=0$ pour $1\leq i\leq n1$ et $x_k=0$.
I have check that (0,0,....,0) is the only solution for n<300 with
Mathematica. If anyone could help me. Thanks 
