Linear Algebra and Its Applications: Third Edition

Author: Lai
Publisher:
Publish Date: 2004-03-01
Features: The previous two editions of this book have received high praise from educators and students. The third edition builds on this foundation by providing more visual concepts, applications (such as the Leontief economic model in Section 1.6, chemical equations, and business flows), and enhanced technical support online. As before, the book offers a basic introduction to linear algebra and its interesting applications. Linear algebra is a branch of mathematics that deals with matrices and vector spaces, with applications in various fields of modern mathematics. The book mainly covers topics such as systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and least squares, symmetric matrices, and quadratic forms. The purpose of this book is to help students master the fundamental concepts, theories, and proofs of linear algebra. It first introduces concepts such as linear independence, subspaces, vector spaces, and linear transformations in a conventional and concrete manner, gradually building up to more abstract discussions, which make these concepts easier to understand. This is an introductory textbook on linear algebra, with comprehensive content and a clear structure, suitable as a teaching resource for mathematics courses in science and engineering at universities and colleges, as well as a reference for corporate employees and engineering researchers.