Linear Algebra with Applications

An Open Textbook

W. Keith Nicholson
Access Textbook: PDF
Lyryx Online Resources: Online Homework
Textbook Review: Open Textbook Library
Ancillary (Open) Resources: Partial Student Solution Manual, Slides, Question Bank
*Please contact us for access to the LaTeX source, instructor solution manual, and additional resources
LMS Integration: Brightspace, Moodle, and most LMS supporting LTI protocol

Pricing: Info


Linear Algebra with Applications by W. Keith Nicholson, traditionally published for many years is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.

Overall, the aim of the textbook is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.

The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course.


The textbook is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).