Note Set 09f: "I see null vectors"—Understanding the structure of $\mathbf{R}_{\mathbf{A}}$ | Matrixology

Note: This is an archival, mostly functional site. All courses can be found here.

Slide Set 09e: Solving $\mathbf{A}\vec{x}=\vec{b}$ with the Way of the Subspace

All Slides

Slide Set 09g: Solving $\mathbf{A}\vec{x}=\vec{b}$ with the Way of the Subspace—More examples

Note Set 09f: "I see null vectors"—Understanding the structure of $\mathbf{R}_{\mathbf{A}}$

Using Fezzik's Reduced Row Echelon Form, we show how each RREF is constructed of an identity matrix $\mathbf{I}$ in the pivot columns and a free column matrix $\mathbf{F}$. From there, we can see how a matrix $\mathbf{N}$ can be built that contains a set of null vectors, a basis for Nullspace (everything you need to know about bases is coming up soon).
Best consumed by 2016/09/16

Covered in this episode:

09f: "I see null vectors"—Understanding the structure of $\mathbf{R}_{\mathbf{A}}$

Slide Set 09e: Solving $\mathbf{A}\vec{x}=\vec{b}$ with the Way of the Subspace

All Slides

Slide Set 09g: Solving $\mathbf{A}\vec{x}=\vec{b}$ with the Way of the Subspace—More examples