Linear Algebra and Space Analytic Geometry Learning Guide - Detailed Solutions to Typical Examples

Author: Yu Zhengguang et al.
Publisher:
Publish Date: 2003-02-11
Features: This book is a supplementary textbook for the course of linear algebra, serving as a reference for students in higher education institutions, radio and television universities, and self-taught college entrance examination candidates studying linear algebra. It can also be used by readers preparing for postgraduate entrance exams. As part of the series on university mathematics learning guidance, this book covers the main contents of linear algebra and spatial analytical geometry. The book is divided into eleven chapters, including determinants, matrices, n-dimensional vector spaces, systems of linear equations, spatial analytical 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 fundamental requirements of the course. It aims to provide concise solutions, clear reasoning, and a progressive difficulty level, from basic to comprehensive. The book is structured into four parts: concise explanations of content, 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 areas, highlighting the connections between concepts. Most examples include thought analysis, solution processes, summaries, and annotations. Additionally, some problems 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.