This manual covers Elementary Matrix Theory, authored by Howard Eves and published by Dover Publications. It delves into fundamental concepts and operations related to matrices, including equivalence, determinants, matrices with polynomial elements, and similarity and congruence. The text is designed to provide a thorough understanding of these mathematical subjects, suitable for those without prior abstract algebra coursework.

The scope of this manual encompasses a detailed treatment of various matrix theories, offering numerous problems and supplementary information within each chapter. Its purpose is to serve as a comprehensive resource for learning and applying principles of matrix algebra. The content is structured to facilitate a clear grasp of the subject matter, making it a valuable tool for students and researchers in mathematics.