The guidance handout of linear algebra is a book for students preparing for postgraduate entrance examination to review linear algebra; Li Yongle, Xi Jiaotong University Press, published on March 20 10. This book is divided into six chapters and an appendix. Each chapter consists of four parts: knowledge structure network diagram, basic contents and important conclusions, typical example analysis and selection, and exercise selection, which is convenient for students to summarize and summarize the postgraduate entrance examination.

Features of this book: 1. Summarize the knowledge system: whether it is advanced mathematics, linear algebra or probability statistics, it is very important to understand the knowledge system comprehensively and thoroughly. This book systematically summarizes and analyzes two main lines that need to be grasped in the review of linear algebra. One main line is the relationship between determinant, matrix and vector group as three tools to study equations and their solutions, and the relationship between them; Another main thread is how the diagonalization of eigenvalues, eigenvectors and matrices can be used as tools to standardize quadratic forms. Every lecture in this book gives the basic concepts, basic principles and basic properties that need to be mastered according to the system, paying special attention to the summary of the relationship between properties, taking notes on the key concepts, principles and properties, and giving consolidation questions for important contents, which is helpful to understand and master the contents of the corresponding parts, and at the same time helps to understand the essential relationship between the contents. 2. Classify the basic questions of each part: On the basis of understanding the basic concepts, principles and properties, it is the key to learn linear algebra well to do targeted and appropriate exercises. All parts of this book give important and typical questions, classify and summarize them according to the questions, give standardized and detailed answers, and strive to be concise. Some problems give multiple solutions. This part not only provides readers with opportunities to practice, but also comprehensively classifies the linear algebra problems involved in the postgraduate entrance examination. Through practice, it not only helps to master the basic knowledge, but also helps to adapt to the examination questions.