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 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.

• Covers all the core topics of linear algebra, approaching many from the viewpoint of analysis
• Contains a diverse range of more than 550 exercises, with a full solution manual available to instructors at www.cambridge.org/Yang2e
• Features chapters tackling important contemporary applications, including quantum mechanics, machine learning, data science, and quantum information
• Well-motivated presentation avoids unnecessary abstraction, giving readers a clear grasp of the concepts, supplemented with concrete examples where necessary
• Demonstrates connections between linear algebra and other important areas