Question: a homogeneous system of linear equations is one in which...
A homogeneous system of linear equations is one in which all of the right-hand sides of the equations are equal to zero. Like this:
Suppose that and are both solutions to the homogeneous system above. Show that their sum, , is also a solution to the system. Then write a short sentence explaining why any homogeneous system with at least two solutions must have an infinite number of solutions.