First off, I have no interest in being a mathematician. Math was always and continues to be quite difficult for me.
So, as an outsider to advanced math, it blows my mind that there are people who’s entire job title is mathematician. How does that work? What does a mathematician do?


It is.
Inverting a matrix is undergraduate level, particularly the advanced algorithms.
Also the reasons why you need to invert a matrix are taught at university, not high school.
Tell this to my math teacher. On the other hand, school here is a bit tougher than in the US.
Well, if you are already doing LU decomposition then I’m impressed.