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77pt77
on Nov 25, 2016
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Matrix Multiplication
In particular understanding that conjugation by another matrix is just a coordinate/frame transformation is crucial.
Relying to much on explicit coordinates many times obfuscates what's going on.
coherentpony
on Nov 25, 2016
[–]
Is that true for non-square matrices?
lkasjdklasdj
on Nov 25, 2016
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parent
[–]
Conjugation only makes sense for square matrices. More generally, left and right multiplication correspond to coordinate transformations of the output and input space, respectively.
coherentpony
on Nov 26, 2016
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[–]
If A is n x n and P is n x p then P is not square but P^T A P is well-defined.
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Relying to much on explicit coordinates many times obfuscates what's going on.