For linear systems you can use "\" operator to solve the problem. (of course it is more soficticated than gauss-jordan). Moreover for nonlinear systems you should use fsolve command. It is not good for huge systems becayse it is sensitive to initial guess (A first derivative based method). Using Genetic Algorithms is your last choise for search spaces that you have no idea how to deal with them. So do not pin on this method so soon.
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