Note Set 10a: Becoming a Reduced Row Echelon Form Whisperer | Matrixology

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

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Slide Set 11a: Why Column Space and Nullspace are Subspaces—And Inigo

Note Set 10a: Becoming a Reduced Row Echelon Form Whisperer

A very solid start on understanding the four basic kinds of the Reduced Row Echelon Form of $\textbf{A}$, $\textbf{R}_\textbf{A}$. We gather the rank of $\textbf{A}$, whether solutions to $\mathbf{A}\vec{x}=\vec{b}$ are possible or not depending on $\textbf{b}$, and if so, whether there will be one or infinitely many. Yes, it's that exciting. Later we add $\textbf{R}_\textbf{A}^{\mbox{T}}$ to complete the Big Picture story (gloriousness).
Best consumed by 2016/10/03

Covered in this episode:

10a: Becoming a Reduced Row Echelon Form Whisperer

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

All Slides

Slide Set 11a: Why Column Space and Nullspace are Subspaces—And Inigo