Linear Algebra: Problem Types. Methods

Author: Liang Xiaoyi
Publisher:
Publish Date: 2003-03-01
Features: This book is compiled according to the "Basic Requirements for Linear Algebra Course Teaching" formulated by the Teaching Guidance Committee of Higher Education Mathematics and the postgraduate entrance examination syllabus. The book is divided into six chapters: Chapter 1: Determinants, Chapter 2: Matrices and Their Operations, Chapter 3: Elementary Transformations of Matrices and Linear Equations, Chapter 4: Linear Dependence of Vector Sets, Chapter 5: Similar Matrices and Quadratic Forms, and Chapter 6: Linear Spaces and Linear Transformations. This book is paired with "Linear Algebra" (3rd Edition) compiled by Tongji University. Each chapter is structured into six parts: basic content, basic requirements, basic methods, typical examples with detailed solutions, selected solutions to key exercises, and comprehensive practice questions. At the end of the book, there are answers and hints, as well as recent postgraduate entrance examination questions (Linear Algebra section) with answers. This book can serve as a supplementary teaching material for undergraduate and junior college students' semester exams and postgraduate entrance examination review, and can also be referenced by teachers and scientific and technical personnel. The book includes theories such as determinants, matrices and their operations, elementary transformations of matrices and linear equations, as well as typical examples with detailed solutions, key exercises with detailed explanations, and related practice questions.