Linear Algebra has been part of the undergraduate mathematics curriculum for a long time. Since the subject is so widely applicable and useful, there are a great many introductions available. An Amazon or Google search for “linear algebra” will turn up too many items to keep in your head at once.

Strang’s Text

My favorite introductory text is our textbook: Introduction to Linear Algebra by Gilbert Strang, which is now it a fouth edition. In particular, I like Strang’s emphasis on the four fundamental subspaces and the Fundamental Theorem of Linear Algebra.

Prof Strang is on the faculty at MIT, and has made many of his materials available. I encourage you to look at these:

Our Workbook

To run this class, I am writing (and constantly revising) a workbook to accompany Strang’s text. This is where you will find my commentary on the mathematics, some instruction on related Sage commands, and your daily homework tasks.

An Interesting Set of YouTube Videos:

YouTube user 3Blue1Brown has a fantastic set of videos about core geometric ideas in linear algebra.

Other Free, Open-Source Materials

There is a bit of momentum building in a small corner of the mathematics community for creating and using open educational materials. There are two such books on linear algebra which you might find useful.

These books are written for courses pitched in different ways than ours, so it may not be obvious how to use them. But it can often help to have a different viewpoint to read, so I want to make you aware of these.

The SageMath Linear Algebra QuickRef

Rob Beezer has written a short and compact handout with the most useful linear algebra commands on it. You might want a copy to tuck in your book.

Books on SageMath

There are two reasonable references for the basics of SageMath (which are not the documentation):


Contact Prof Hitchman
Theron J Hitchman
Department of Mathematics 0506
University of Nothern Iowa
Cedar Falls, IA 50613-0506
Other Contact Information
Office: 327 Wright Hall
Phone: 319-273-2646
email: theron.hitchman@uni.edu
Course Information
Class Meetings:
MWF 2pm in WRT 105
Office Hours:
Use the link below to schedule a meeting during M-F 3-4:30pm.