Find a set of vectors spanning the solution space of Ax=0 where
So I rref and it's row equivalent to the identity matrix. How do I interpret the result?
The equations corresponding to your reduced matrix are , , and . The first two equations can be solved for , . Taking to be your "r", we have , , and, of course, . Taking r= -1 gives Plato's solution and all solutions are a multiple of that.