@lcamtuf I feel this hard.
Gave myself a crash course in the matrix algebra used in mechatronics to understand the source code of a library some students wanted to use for FIRST Robotics. It's a library to predict how a 2-wheel robot will drive. Naively, I'd have just suggested to them "your forward speed should be the average of your wheel speeds and your turn speed should be the difference of your wheel speeds," but they wanted to use the library.
So after reading about forty pages of explanatory material and a half-dozen Java classes, I discovered the core of the library was a matrix algebra encoding of... "Your forward speed is the average of your wheel speeds and your turn speed is the difference of your wheel speeds."
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