I’ve continued working on the C# code and currently have the ability to do a couple types of approximations/interpolations and find matrix determinants quickly.
I think the next thing I’m going to work on is finding the matrix inverses (probably via the Faddeev-Leverrier method) so I can find eigenvalues and eigenvectors.
There are, of course, countless libraries and software packages that could do these types of calculations me, and in practice I would in all likelihood use them. Nonetheless, I think it’s useful to understand how those libraries work and thus, perhaps, when it is appropriate to use them as opposed to writing my own specialized code. And of course, doing this is just plain fun.
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