Linear Algebra Common Problem Analysis and Practice Tests for Science and Engineering

Author: Xu Zhong
Publisher:
Publish Date: 2002-07-01
Features: This book analyzes and solves a large number of representative typical examples to reveal the problem-solving methods and techniques in linear algebra, enabling students to "follow the map to find the beast" and "generalize from one to many," thereby improving their basic operational, reasoning, and exam-taking skills through practice. The book is divided into two parts. The first part consists of 6 chapters, covering main topics such as determinants, matrices, vectors, systems of linear equations, eigenvalues and eigenvectors of matrices, and quadratic forms. This part is intended for students in engineering and economics disciplines to review linear algebra and prepare for postgraduate entrance exams. The second part consists of 4 chapters, covering main topics such as linear spaces, λ-matrices, linear transformations, and Euclidean spaces. The entire content of the book is designed for science students to review linear algebra and prepare for postgraduate entrance exams. Each chapter is composed of four parts: basic concepts, important conclusions and formulas, analysis of typical examples, and practice exercises. The main features of this book are: comprehensive coverage of both science and engineering, clear hierarchical structure; eye-catching diagrams and charts, rich content; categorized special topics with thorough analysis; carefully selected examples and fully solved exercises. This book is suitable for science and engineering students studying linear algebra and advanced algebra, as well as readers preparing for postgraduate entrance exams. It can also serve as a reference book for relevant teachers and scientific workers.