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About the Book
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.
About the Authors
OpenIntro is an educational nonprofit focused on making textbooks that are free, transparent, and lower barriers to education. We also feature supporting resources, such as slides, videos, and more.