Note Set 14a: The Big Picture for the Man in Black

We figure out the complete Big Picture for Westley (the Man in Black, the erstwhile Dread Pirate Roberts, and a 2x2 matrix). We find the team of four subspaces: Row Space, Column Space, Nullspace, and Left Nullspace, and we explain in detail how everything works for $\mathbf{A}\vec{x}=\vec{b}$. Somehow, Westley behaves like $\sqrt{20}$.
Best consumed by 2016/10/10