- For intuition: https://www.youtube.com/watch?v=fNk_zzaMoSs

- For rigor: https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010...

- For code: https://codingthematrix.com/

- For numerical/algorithmic details: https://people.maths.ox.ac.uk/trefethen/text.html

It's been a long time since I've taken linear algebra but if you can find an OCW course, or a really good book I'd start there. You'll want some rigor under your belt. Once you do that, any good numerical analysis text will usually cover the basics (you'll need them) before going into the fascinating world of algorithms as they relate to linear algebra.

their treatment of numerical linear algebra is not as comprehensive as say the one you'd find in Watkins' Fundamentals of Matrix Computations but it's free