Strang G. Linear Algebra and Its Applications

Cengage Learning, 2006. — 532 p. — ISBN-13 9780030105678.Linear Algebra and Its Applications by Gilbert strang Revising this textbook has been a special challenge, for a very nice reason. So many people have read this book, and taught from it, and even loved it. The spirit of the book could never change. This text was written to help our teaching of linear algebra keep up with the enormous importance of this subject—which just continues to grow. One step was certainly possible and desirable—to add new problems. Teaching for all these years required hundreds of new exam questions (especially with quizzes going onto the web). I think you will approve of the extended choice of problems. The questions are still a mixture of explain and compute—the two complementary approaches to learning this beautiful subject.Matrices and Gaussian Elimination
Vector Spaces
Orthogonality
Determinants
Eigenvalues and Eigenvectors
Positive Definite Matrices
Computations with Matrices
Linear Programming and Game Theory
A Intersection, Sum, and Product of Spaces
B The Jordan Form
C Matrix Factorizations
D Glossary: A Dictionary for Linear Algebra
E MatLAB Teaching Codes
F Linear Algebra in a Nutshell