Linear Algebra: Problems, Solutions, and Methods

This book presents 244 carefully selected problems in linear algebra, organized into five chapters covering systems of linear equations, vector spaces, linear transformations, linear, bilinear, and quadratic forms, Euclidean vector spaces, and convex sets. Each chapter is divided into four parts: definitions and basic results, solved problems, additional exercises, and hints with answers, making it easy to learn and practice independently. With a table of contents, bibliography, and index, readers can quickly locate topics or solutions. Designed primarily for undergraduate mathematics students as a companion to a standard linear algebra course, this book also serves as a valuable resource for students in engineering, computer science, economics, and the natural sciences. Whether used for self-study, coursework, or exam preparation, it provides a structured and comprehensive approach to mastering linear algebra.