Note Set 16b: Transmuting a basis into an orthogonal one | Matrixology

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Slide Set 16a: Believing in the righteousness of orthogonal bases

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Slide Set 16c: A new hope (factorization): $\mathbf{A} = \mathbf{Q}\mathbf{R}$

Note Set 16b: Transmuting a basis into an orthogonal one

Time for the Gram-Schmidt process: We show how can make any basis into an orthogonal basis. You'll see projections and understanding Column Space set everything up for us. It's a practical-minded method but does lead to an elegant matrix factorization (up next).
Best consumed by 2016/10/26

Covered in this episode:

16b: Transmuting a basis into an orthogonal one

Slide Set 16a: Believing in the righteousness of orthogonal bases

All Slides

Slide Set 16c: A new hope (factorization): $\mathbf{A} = \mathbf{Q}\mathbf{R}$