Indicate what types of solutions are possible for the different systems of equations in Problem 4.1.

(a) An underconstrained system may have an unlimited number of possible solutions or no solution, but it will not have a unique solution for lack of sufficient equations as constraints.

(b) An exactly constrained system may have a unique solution, multiple solutions, or no solution. It will have multiple solutions if two or more of the equations are equivalent or dependent equations. It will have no solution if two or more of the equations are inconsistent.

(c) An overconstrained system may have a unique solution, no solution, or multiple solutions. It typically has no solution; if the equations are not dependent, they must be inconsistent.