Note Set 06b: Why Triangle x Triangle = Rectangle Works | Matrixology

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Slide Set 06a: Triangle x Triangle = Rectangle

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Slide Set 07a: Transposes and Symmetric Matrices

Note Set 06b: Why Triangle x Triangle = Rectangle Works

We explain why $\mathbf{L}\mathbf{U}$ factorization works for any matrix $\mathbf{A}$ of any shape. Elimination matrices are the key, and we find why the product of their inverses is always simple.
Best consumed by 2016/09/14

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06b: Why Triangle x Triangle = Rectangle Works

Slide Set 06a: Triangle x Triangle = Rectangle

All Slides

Slide Set 07a: Transposes and Symmetric Matrices