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Introduction to Linear Algebra, Fourth EditionIntroduction to Linear Algebra, Fourth Edition
This Fourth edition replaces Introduction to Linear Algebra, Third Edition (Order Code WC06, ISBN 978-0-961408-89-3) which is no longer available.

Gilbert Strang

Published by Wellesley-Cambridge Press
Distributed by SIAM

Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. The goal is a careful explanation of the central problems:

Ax = b n by n Chapters 1-2: Linear systems and LU
Ax = b m by n Chapters 3-4: Exact and least squares
Ax = x n by n Chapters 5-6: Eigenvalues
Av = u m by n Chapters 6-7: Singular values

Please go to to view key sections of the 2009 edition of Introduction to Linear Algebra. You will see complete sections from every part of the one-semester course: Chapter 1.3: Matrices; Chapter 2.5: Inverses; Chapter 3.6: Dimensions; Chapter 4.3: Least Squares; and Chapter 6.1: Eigenvalues.

This new edition is the text that accompanies Strang's video lectures on the OpenCourseWare site A million viewers worldwide have seen the beauty of linear algebra and the importance of its applications. The course website includes exams and review materials from years of developing this approach to teaching linear algebra.

Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, fourier methods and the FFT, linear programming, and computer graphics.

Thousands of teachers in colleges and universities and now high schools have moved to this book, which truly explains this crucial subject. This text is for readers everywhere, with support from the websites and video lectures.

Chap. 1: Introduction to Vectors;
Chap. 2: Solving Linear Equations;
Chap. 3: Vector Spaces and Subspaces;
Chap. 4: Orthogonality;
Chap. 5: Determinants;
Chap. 6: Eigenvalues and Eigenvectors;
Chap. 7: Linear Transformations;
Chap. 8: Applications;
Chap. 9: Numerical Linear Algebra;
Chap. 10: Complex Vectors and Matrices;
Solutions to Selected Exercises;
Matrix Factorizations;
Conceptual Questions for Review;
Glossary: A Dictionary for Linear Algebra;
Teaching Codes

About the Author
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled An Analysis of the Finite Element Method. Professor Strang served as SIAMs president from 1999-2000, chaired the US National Committee on Mathematics from 20032004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.

2009 / x + 574 pages / Hardcover / ISBN: 978-0-9802327-1-4
List Price $87.50/ SIAM Member Price $61.25/ Order Code WC09
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