Linear Algebra with Applications by W. Keith Nicholson, traditionally published for many years is now being released as an open educational resource.
Overall, the aim of the book 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).
This open book is licensed under a Creative Commons License (CC BY-NC-SA). You can download Linear Algebra with Applications ebook for free in PDF format (5.4 MB).
Table of Contents
Systems of Linear Equations
Determinants and Diagonalization
Vector Space Rn
Change of Basis
Inner Product Spaces
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