Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).
In The Press
'A Second Course in Linear Algebra by Garcia and Horn is a brilliant piece of work in linear algebra and matrix theory; it is a fascinating text for advanced undergraduate students and graduate students in science, technology, engineering and mathematics (STEM). Covering not only standard material but also many interesting topics, it presents the most fundamental and beautiful ideas in the field with cutting edge applications (such as the singular value decomposition with the Mona Lisa image). The book will become a standard text that is interesting and enjoyable for students as well as researchers.' Fuzhen Zhang, Nova Southeastern University, Florida