Note Set 09g: Solving $\mathbf{A}\vec{x}=\vec{b}$ with the Way of the Subspace—More examples
Two more examples of solving $\mathbf{A}\vec{x}=\vec{b}$ with the big picture idea there being a particular and a homogeneous parts of the solution. The former lives in Row Space (coming soon), the latter in Nullspace. These 2 by 2 examples are simpler than Fezzik.
Best consumed by 2016/09/16