This is a free algebra book. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. This book helps students to master the material of a standard US undergraduate linear algebra course.

**Description**

The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. An-other standard is book’s audience: sophomores or juniors, usually with a back-ground of at least one semester of calculus. The help that it gives to students comes from taking a developmental approach|this book’s presentation empha-sizes motivation and naturalness, driven home by a wide variety of examples and by extensive and careful exercises.

**Contents**

- Linear Systems
- Vector Spaces
- Maps Between Spaces
- Determinants
- Similarity

**Book Details**