How is linear algebra used in astronomy and astrophysics?

: How is linear algebra used in astronomy and astrophysics?
Although I know its importance, I really am just not seeing it. Most of the concepts I’ve learned in linear algebra I such as spanning sets, basis, dimension, linear transformations, and determinants seems rather useless outside of the realm of linear algebra and functional analysis. I just want to know of applications of this branch of math in astronomy and how it has helped contribute to new discoveries in astronomy?

Answers and Views:

Answer by Flouride
it’s used as a way to solve very large sets of differential equations by a method called “finite elements.” the equations are way too complicated to be solved analytically so linear algebra provides the means to approximate solutions using numerical methods.