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I love this topic. Are there any industry fields or sub fields that make heavy use of this content?

• garvield 4y ago
  Image manipulation, game engines, graphics, finite element analysis, fluid dynamics, signal processing, weather models, etc. It's used everywhere where you have a system of equations to solve numerically. Most of the industries are dominated by subject matter experts who write code.
  • singhrac 4y ago
    Significantly used in finance as well, risk estimation is often approximately fitting an MVN to sparse data. I’ve used ideas from this blog many times.
  • commandlinefan 4y ago
    Comes up quite a bit in the AI space as well.
• jcranmer 4y ago
  Linear algebra is basically the foundation of most serious computation effort. We rank supercomputers essentially by their sustained floating-point computation rate solving large linear equations--a substantial fraction of HPC workloads boil down to "math on large matrices." In the large scale, basically any simulation (whether it be weather modeling or analysis of the stress on a physical object) is solving linear equations. Graphics tends to boil down to doing lots and lots of small matrix multiplications, as does signal or image processing. Optimization problems also tend to boil down to linear algebra as well (via simplex)--so things like operations research, place & route on FPGAs, or even optimal factory ratios in a game like Factorio turn out to need to use linear algebra.
• blt 4y ago
  Control theory, optimization