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Gauss elimination homogeneous system of linear equations

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dareal

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hi,
I want to solve a homogeneous system of linear equations using Gauss elimination Method with Matlab.
In Matlab i can calculate the nullspace of the matrix(Ax=0), the problem is that i work with prime Galois Field .and the result of the null function give me element belongs to R (e.g -0.004).

*in some Papers the solution can be calculated using Gauss elimination.
but i have no idea how to solve (A.x=0) using GE moreover i work with prime Galois Field!

PS:the matrix has the size n *m with m>n (more unknowns than equations)
 

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