Linear Algebra

Linear algebra is a form of mathematics that studies linear operators of vectors over vector spaces. Of course, in a field like physics, we use linear algebra to explain the concept of a vector or a matrix, which are the less general and less abstracted versions of a linear operator, which is why we will start with explaining matrices and vectors over vector spaces instead of the more abstract object first.

Prerequisites

For the earlier sections, all that is needed is an understanding of functions. For the later sections, some sort of understanding of calculus (in the form of understanding a taylor series of, for example, e) is needed for diagonalization.