I think linear algebra might be too much for most players. Most RPGs should stick to basic arithmetic—addition and subtraction work well for hit points and damage. Adding layers of complexity, like differential geometry, could alienate casual gamers. Many just want to enjoy the game without doing complex math. It’s all about balance.
Welcome to the boards. Two thoughts for you.
First, you are quoting an early post in a thread that is about a year old. There are no rules against necromancy and you won't upset anyone, but expect that some points may already have been discussed, and some people may not respond.
Second, relating to the math you referenced. Linear algebra is more or less the eventual outcome of the basic addition and subtraction you describe. When there's only one variable, like making a simple skill check, things stay simple. But these variables eventually start to combine, like to-hit rolls, damage rolls, and other bonuses. Once that happens and players start to try and optimize tactics with multiple variables, you rapidly find yourself in the middle of linear algebra. Of course, how it is presented matters. You can absolutely have players doing linear algebra without knowing it.