# Linear algebra

Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

## Vectors and spaces

Let's get our feet wet by thinking in terms of vectors and spaces.

## Matrix transformations

Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations.

## Alternate coordinate systems (bases)

We explore creating and moving between various coordinate systems.