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> I didn't think any part of linear algebra was boring.

My formal linear algebra course was boring as hell, to me. The ~4 lectures my security prof dedicated to explaining just enough to do some RSA was absolutely incredible. I would pay lots of money for a hands-on what-linalg-is-useful-for course with practical examples like that.

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Try this. :)

https://kel.bz/post/lll/

(If you work through the prerequisites and use "understanding this post" as a sort of roadmap of what you actually need to know, this gets you about 2/3rds through undergraduate linear algebra, and you can skim through nullspaces --- all in the service of learning a generally useful tool for attacking cryptosystems).

Thanks for the notes. This is marvellous. I do not work on, or have interest in cryptography algorithms, but this is such an interesting read.

Kelby Ludwig is such a talented explainer, it upsets me.

There's a book called ILA (Interactive Linear Algebra) that I found really good: https://textbooks.math.gatech.edu/ila/

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