Linear Algebra and Space Analytic Geometry Study Guide: Typical Examples Solved in Detail: Typical Examples Solved in Detail

Author: Yu Zhengguang
Publisher:
Publish Date: 2003-05-01
Features: This book is a supplementary textbook for the course of Linear Algebra and can be used as a reference for students in higher education institutions, radio and television universities, and self-taught college students studying Linear Algebra. It is also suitable for candidates preparing for postgraduate entrance exams. This book is part of the University Mathematics Study Guide series and covers the main contents of Linear Algebra and Spatial Analytic Geometry. The book is divided into eleven chapters, including Determinants, Matrices, n-Dimensional Vector Spaces, Systems of Linear Equations, Spatial Analytic Geometry, Eigenvalues and Eigenvectors of Matrices, Quadratic Forms, Univariate Polynomials, Linear Spaces, Linear Transformations, and Euclidean Spaces. The book selects nearly 400 examples and 400 exercises, with a focus on highlighting the basic requirements of the course. It aims to provide concise solutions, clear reasoning, and a progressive learning process from basic to comprehensive. The book is structured into four parts: concise content explanation, typical examples, exercises, and hints with answers. It outlines the basic concepts, theorems, and methods of each chapter. Special explanations are provided for difficult or easily mistaken points, highlighting the connections between concepts. Most examples include reasoning analysis, solution processes, summaries, and annotations. Some problems also offer hints and answers. Each section is followed by a set of exercises, allowing readers to further consolidate their knowledge and master the solving techniques for various types of problems.