Advanced Linear Algebra

An engaging textbook for advanced undergraduates and beginning graduates covering the core subjects in linear algebra, with a unique emphasis on ideas from analysis. This edition includes over 200 new exercises and in-depth coverage of contemporary applications, including quantum mechanics, machine learning, data science, and quantum information.

---

The second edition of this engaging textbook for advanced undergraduate students and beginning graduates covers all the core subjects in linear algebra. It has a unique emphasis on integrating ideas from analysis, in addition to pure algebra, and features a balance of abstraction, practicality, and contemporary applications. Four chapters examine some of the most important of these applications, including quantum mechanics, machine learning, data science, and quantum information. The material is supplemented by more than 550 exercises suitable for students from a wide variety of backgrounds, including over 200 exercises new to this edition. Selected solutions are provided at the back of the book for use in self-study, and full solutions are available online to instructors.