Note Set 02c: Saving the day, Ghostbusters style, for $\mathbf{A}\vec{x}=\vec{b}$ when a pivot is missing. | Matrixology

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Slide Set 02b: A splendid 3x3 example of solving $\mathbf{A}\vec{x}=\vec{b}$

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Slide Set 02d: Nutshell—$\mathbf{A}\vec{x}=\vec{b}$ and the Gaussian Eliminator 9000

Note Set 02c: Saving the day, Ghostbusters style, for $\mathbf{A}\vec{x}=\vec{b}$ when a pivot is missing.

We examine how $\mathbf{A}\vec{x}=\vec{b}$ may have 0 or infinitely many solutions when a pivot is missing (that is, 0). We consider 2x2 examples but the basic ideas generalize to all system sizes. Deeper ways of understanding solutions will come later as we unwrap the gift that is $\mathbf{A}\vec{x}=\vec{b}$.
Best consumed by 2016/08/31

Covered in this episode:

02c: Saving the day, Ghostbusters style, for $\mathbf{A}\vec{x}=\vec{b}$ when a pivot is missing

Slide Set 02b: A splendid 3x3 example of solving $\mathbf{A}\vec{x}=\vec{b}$

All Slides

Slide Set 02d: Nutshell—$\mathbf{A}\vec{x}=\vec{b}$ and the Gaussian Eliminator 9000