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Forum index » Science and Technology » Math » Combinatorics
Linear System of Equations
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Willy1
science forum beginner


Joined: 03 Feb 2006
Posts: 2

PostPosted: Fri Feb 03, 2006 11:08 am    Post subject: Linear System of Equations Reply with quote

Hello!

I have a great problem. I have a set of 3n-3 linear equations in 2k-1
variables and I would like to prove that (0,0,...,0) is the only
solution in Z/2Z. The equations are:
$\sum_{j=0}^{i-3}{C_{i-1}^{j} x_{i+j+1}}+ix_{2i-1}=0$ pour $3\leq i\leq
n-1$,
$\sum_{j=0}^{i-1}{C_{i-1}^{j} x_{i+j}}=0$ pour $1\leq i \leq n$,
$x_i+x_{2n-i}=0$ pour $1\leq i\leq n-1$ 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
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