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.
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.