"Show that the number of distinct solutions of a system of linear equations (any number of equations and unknowns) over a field Z_p is either 0, or a power of p."(adsbygoogle = window.adsbygoogle || []).push({});

I don't know where to start. Suppose there are n unknowns, if only I can show that the solution space is a subspace of Z_p ^n, then it's easy. But I can't seem to do it. Any hints?

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# Homework Help: Solutions to a system of Linear Equations

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