Suppose you have N unknowns and N NON-linear equations of those unknowns. Is it possible that the equations are LINEARLY-independent, yet you get an infinite number of solutions?(adsbygoogle = window.adsbygoogle || []).push({});

I know the question of how many solutions you would get for a system of LINEAR equations is resolved with ranks of matrices. Is there an analogous treatment for system of NON-linear equations to get the number of solutions without actually solving the system?

References please.

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# Solutions of system of nonlinear equations

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