Linear algebra

Author: Zhang Yufen / Country: Mainland China
Publisher:
Publish Date: 2004-09-01
Features: Linear algebra is an important foundational theoretical course for engineering students in higher education institutions. This book adheres to the principle of "fewer but better, broader yet easier to understand" in its selection of content, closely aligning with the postgraduate entrance examination syllabus. The main topics include: determinants, matrices and their operations, elementary transformations of matrices, the linear dependence and independence of vector sets, similar matrices and quadratic forms, as well as linear spaces and linear transformations. In terms of presentation, the book strives for concise and clear explanations of fundamental concepts while appropriately simplifying complex proofs, ensuring a well-structured and rigorous organization. It offers both sufficient theoretical depth and a progressive learning path for easier comprehension. The book is rich in examples, complementing the teaching content, and each chapter includes a substantial number of exercises. Some of these exercises are designed to be comprehensive and challenging, serving as practice questions for postgraduate entrance examinations. The question types include fill-in-the-blanks, multiple-choice, calculations, and proofs. At the end of the book, answers to the exercises in each chapter are provided for reference.