Linear algebra

Author: Lu Gang
Publisher:
Publish Date: 2006-06-01
Features: This book is a textbook for the "Linear Algebra" course in the mathematical foundation curriculum for undergraduate majors in economics and management, written according to the teaching of the Ministry of Education for "Basic Economics Mathematics." The book is divided into five chapters, covering topics such as matrix concepts and operations, determinants of n-order matrices, systems of linear equations, eigenvalues and eigenvectors of matrices, and quadratic forms. In addition to providing a rich selection of basic exercises for each section, the book also includes comprehensive problems and proof questions related to the content of each chapter at the end of each chapter to strengthen students' understanding and mastery of the material. The answers and hints to the exercises are provided at the end of the book for reference by both teachers and students. Considering that many topics in linear algebra are abstract and difficult to understand and master, and drawing on the author's years of teaching experience, the book emphasizes clarity and simplicity in the introduction and explanation of basic concepts, as well as the transition and connection between concrete and abstract content, to ensure students have a clear and accurate understanding of the fundamental concepts. The selection of examples and exercises takes into account both the training of students in understanding basic concepts and the use of basic methods, as well as the cultivation of their problem-solving skills. The book highlights the internal connections between chapters, emphasizing that students, while mastering the basic content of linear algebra, should also appreciate mathematical thinking methods, train and develop their ability to analyze and solve problems, and prepare themselves for future professional work. In addition to being suitable for undergraduate students in economics and management majors in higher education institutions, the book also considers the needs of these students for postgraduate entrance examinations in its content arrangement, making it suitable for postgraduate entrance examination candidates as a review resource.