Linear Algebra Tutoring and Solutions to Typical Problems

Author: Wei Zhixian
Publisher:
Publish Date: 2002-03-01
Features: This book is written according to the "Basic Requirements for Linear Algebra Course Teaching" formulated by the former State Education Commission, and also refers to the "Mathematics Examination Syllabus" for the unified postgraduate entrance examination. The book is divided into six chapters: Determinants; Matrices; Vectors and Linear Equations; Eigenvalues and Eigenvectors; Real Quadratic Forms, Linear Spaces, Euclidean Spaces, Linear Transformations. Additionally, there are two appendices: Final Examination Questions for the Linear Algebra Course at Xi'an Jiaotong University; Linear Algebra Examination Questions for the National Postgraduate Entrance Examination from 1999 to 2001. Each chapter includes five parts: basic requirements, summary of basic content, key points and difficulties, analysis of typical problems and basic problem-solving methods, and self-assessment questions. The book collects over 300 representative typical examples and over 120 exercises with broad content coverage. This book can serve as a supplementary textbook for undergraduate students, as well as for readers of radio and television universities and vocational colleges to study linear algebra. It can also be used by candidates for postgraduate entrance examinations for review and preparation, and as a reference for relevant teachers and scientific and technological workers.