Matrix Theory

"Matrix Theory" is a comprehensive textbook that focuses on the fundamental concepts, results, and techniques of linear algebra, particularly matrix theory. The second, revised, and expanded edition includes ten chapters covering a wide range of topics, including similarity, special types of matrices, Schur complements, and matrix normality. Each chapter is designed to present the most beautiful and interesting results and methods, followed by carefully selected exercises that deepen understanding. This edition offers an extended discussion on matrix functions, non-negative matrices, and unitary-invariant matrix norms. With over 1000 exercises and new chapters on numerical areas and matrix inequalities, this book is suitable both as a textbook and as a reference work for students and professionals in the fields of algebra, matrix analysis, and related disciplines.