Linear Algebra is a text for a first US undergraduate Linear Algebra course. You can use it as a main text, as a supplement, or for independent study. The topics covered include: linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.

This book covers the requisite material and proves all the results, but it does not assume that students are proficient at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples and exercises that range from routine verifications to a few challenges. The goal is, in the context of developing the material of an undergraduate course, to raise each student's level of mathematical maturity.

Each chapter finishes with four or five short supplemental topics. These are good for reading or projects, or for small group work. Each subsection has many exercises spanning a range of difficulty. In the Answers book each exercise is covered, completely, including proofs.

Prerequisite: One semester of calculus.

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The book is available under either the GNU Free Documentation License or Creative Commons Attribution-ShareAlike 2.5 License, at your discretion.

For instructors who want to modify the text. Please, feel free. But as a favor the author asks that you include a statement about your modifications so that people making reports know who to write. Putting something like this on the cover would be great: \fbox{\parbox{0.75\textwidth}{The material in the second appendix, on induction, has been added by Professor Jones of UBU. Send reports about this material to \url{sjones@example.com}.}}

For bookstores: The author gives instructors permission to make copies of this material (granted via the licenses noted above), either electronic or paper, and give or sell those to students. But first note that a you can get a paper copy from Amazon, or NACSCORP, or directly from Ingram via LightningSource, using ISBN: 978-1-944325-11-4, for basically the cost of printing.