Linear algebra is an elegant subject and remarkable tool whose influence reaches well beyond uses in pure and applied mathematics. This document provides an environment in which to enhance one’s understanding of the ideas in linear algebra by working examples often too tedious to do by hand. We will use Cocalc 1
cocalc.com
(Sage) as the computational tool of choice.
This document is not intended as a textbook but a companion guide to a textbook. It is also important to note that this document is in active development with new topics frequently added and the emphasis on providing functionality, not necessarily a robust discussion of topics. In the interim, an excellent online source of linear algebra material is Robert Beezer’s text A first course in linear algebra 2
linear.ups.edu/fcla/index.html
, as well as standard references like [1], [2], or [3].
Finally, Sage can be installed on your laptop to make it easier to go outside the confines of this guide. There are binaries for Linux 3
