The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory." "The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for advanced undergraduate or graduate students. The only prerequisite is a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other related fields.