Linear Algebra is a text for a first undergraduate course. It is Free. Use it as a main text, as a supplement, or for independent study.
Are you teaching with this text?
Note that you can register at OpenIntro.org for a free paper desk copy. These folks are working to make Open texts more adoptable, so while you are there, check out the other offerings also.
You may find these materials useful.
- Beamer slides I use these for classroom presentation, as a memory prompt and a reference. They are compiled from the text source so that the wording of theorems and definitions is sure to agree. But they give different examples so that students see twice as many. Included is a version of each slide without pauses, for printing or posting in your learning management system, and a version with all proofs.
- Lab manual There is a supplemental lab manual using Sage. This is the second lab edition, using Python 3.
- Videos I've made a sequence of video lectures. Like the text, they emphasize motivation and examples. Usually a video's first half works through a problem, while the second half does new material using the beamer slides. They average 20–25 minutes; longer topics are split in two.
- Matrix Arithmetic from Prof Harold W. Ellingsen of SUNY Potsdam is for teachers who want to cover matrix operations after the first chapter (the book covers them in the third chapter as part of linear maps). It is under a Free license, with the LaTeX source.
- Exercises and Exams You can get the inclass worksheets as well as exams and their solutions from the last time I taught the class, or another collection of take-home problems and their solutions, from a more traditional version of the class. The LaTeX source is in my git repository so you can adapt them.