Focusing on fundamental concepts in linear algebra and matrix theory, this book features ten chapters that explore topics such as similarity, special matrices, Schur complements, and matrix normality. Each chapter emphasizes elegant and significant results, techniques, and methods, accompanied by thoughtfully chosen problems to enhance understanding. The book aims to provide a clear and engaging presentation of key ideas in the field.
This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.
Featuring a wealth of challenging problems, this revised edition includes approximately fifty-five examples and numerous new exercises derived from the author's advanced linear algebra courses. It draws on lecture notes from Nova Southeastern University and short lectures given at Shanghai University and Beijing Normal University, making it a valuable resource for students seeking to deepen their understanding of linear algebra and matrix theory.