How many kinds of solutions are there?
From the category in which this question is asked, I will assume you mean a finite linear system of equations. If such a system is in
If a linear system involves
(0) The empty set. The system is inconsistent and has no solutions.
(1) A unique solution in the form of an
(2) A line of solutions expressible as:
(3) A plane of solutions expressible as:
(n+1) The whole of