Linear Algebra Step-by-Step Tutorial

Author: Zhang Zhiyu
Publisher:
Publish Date: 2006-08-01
Features: This book is a learning guide for the mathematics common course of linear algebra for engineering majors in higher education institutions. It is compatible with multiple current national excellent textbooks on "Linear Algebra" in China and can be used synchronously. To match the teaching and learning of linear algebra courses in similar higher education institutions, the authors meticulously planned and organized this "College Mathematics Practice and Tutorial Series" teaching material, written by experienced teachers who have participated in teaching reform and achieved rich experience. This book is "College Linear Algebra Step-by-Step Practice and Tutorial." The entire book is divided into six topics, including determinants, matrices and their operations, the linear dependence of vector sets, linear equations, eigenvalues of matrices and diagonalization of matrices, and quadratic forms. Each topic is divided into six modules: content summary, basic requirements, problem-solving guidance, method guidance, synchronous training (divided into Level A and Level B exercises), and learning notes. The focus of this book is "problem-solving guidance" and "method guidance." This book is written in accordance with the "Basic Requirements for the Teaching of Higher Mathematics for Undergraduate Engineering Majors" issued by the Ministry of Education, emphasizing the integration of mathematical ideas, methods, and skills. It combines the cognitive patterns and problem-solving methods for learning higher mathematics summarized by the authors in teaching practice. This book can serve as a supplementary teaching material for undergraduate students of engineering majors in higher education institutions to study linear algebra, and can also be used as a teaching reference for instructors. For senior undergraduate students preparing for postgraduate entrance exams, this book is also an excellent guide and companion for review.