/sci/ - Science & Math

Sup, im building a matrix library in rust and trying to learn more about how to find the inverse of a matrix. Been googling and searching for information but can't really find anything useful, like at all. I found Gaussian elimination which sounded sounded about right but the method seems too arbirtary and hard to code due it being up to the person solving the person deciding whether to swap a row, multiply it, add it or whatever. Is there a strict set of guidlines for finding the inverse of a matrix? Please let me know what or where to look for it, thanks!