3 ms·
In particular understanding that conjugation by another matrix is just a coordinate/frame transformation is crucial. Relying to much on explicit coordinates ma
by 77pt77 10y ago
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 10y agoIs that true for non-square matrices?
- lkasjdklasdj 10y agoConjugation only makes sense for square matrices. More generally, left and right multiplication correspond to coordinate transformations of the output and input space, respectively.
- coherentpony 10y agoIf A is n x n and P is n x p then P is not square but P^T A P is well-defined.