Advanced Linear Algebra

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 a rich collection of exercises designed for students from diverse backgrounds including a wealth of newly added ones in 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.