Linear Algebra

A free linear algebra textbook and online resource written by

David Cherney, Tom Denton and Andrew Waldron

Edited by Rohit Thomas

What this book is: This "textbook" (+videos+WeBWorKs) is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations. For more details, see the Table of Contents or the Preface.

Homework: This book is designed to be used in conjunction with online homework exercises written in the WeBWorK system. These exercises help the students read the lecture notes and learn basic computational skills. There are also in-depth conceptual problems at the end of each lecture, designed for written assignments. See the homework page for more information about homework or to obtain access to the online homework exercises.

Download the book: NOTE: The textbook contains links to an online homework course. The version above links to a model course hosted on the UC Davis WeBWorK server; if you are an instructor, please see the homework page for instructions on obtaining access to this model course. If you plan to use this book to teach a course, you will want to change the links to point to your own WeBWorK course; see the homework page for more details.

Corrections: There undoubtedly remain many errors in the book. If you find any, please let us know by emailing us at Also, do drop us an email if you are teaching from the book--we enjoy receiving these!

Copyright notice: Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.