Linear algebra

Author: Ren Gongquan, Feudal Hu, Xue Hongzhi
Publisher:
Publish Date: 2005-08-01
Features: This textbook is written in line with the spirit and principles of the New Revised Basic Requirements for Teaching of Mathematical Foundation Courses for Undergraduate Engineering Majors revised by the Teaching Guidance Committee of Engineering Mathematics Courses of the Ministry of Education, combined with years of teaching experience, and is designed for undergraduate students of all engineering majors. The content includes: determinants, matrices, n-dimensional vectors and vector spaces, systems of linear equations, eigenvalues and eigenvectors of matrices, real quadratic forms, linear spaces, and linear transformations, etc. The book presents fundamental concepts clearly, with rigorous theoretical analysis, and particularly emphasizes the concept of quality-oriented education, highlighting the background and applications of relevant theories and methods. In terms of structure, it takes matrices as the main thread while also paying attention to the role of vectors, spatial thinking, and the interpenetration of algebra and geometry. Additionally, it appropriately includes content for student self-study, chapter summaries, concept reviews, and brief introductions to Matlab commands related to linear algebra calculations. Each chapter is accompanied by a certain number of exercises, and the book provides hints and answers to selected problems at the end. This book can serve as a textbook for undergraduate engineering students in higher education institutions and can also be referenced by scientific and technological workers.