Introduction to Linear Algebra

This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

“Second EditionS. LangIntroduction to Linear Algebra"Excellent! Rigorous yet straightforward, all answers included!"-Dr. J. Adam, Old Dominion University”

Second Edition S. Lang Introduction to Linear Algebra "Excellent! Rigorous yet straightforward, all answers included!"--Dr. J. Adam, Old Dominion University

Lang, Yale University, New Haven, CT.

to Linear Algebra Second Edition With 66 Illustrations i Springer Serge Lang Department of Mathematics Yale University New Haven, CT 06520 U.SA Editorial Board S. Axler F. W. Gehring Department of Mathematics Department of Mathematics Michigan State University U niversity of Michigan East Lansing, MI 48824 Ann Arbor, MI 48019 U.SA U.SA K.A. Ribet Department of Mathematics University of California al Berkeley Berkeley, CA 94720-3840 U.S.A. Malhemalics Subjecls Classificalions (2000): 15-01 ISBN 978-1-4612-7002-7 ISBN 978-1-4612-1070-2 (eBook) DOI 10.1007/978-1-4612-1070-2 Library of Congress Cataloging in Publication Dala Lang, Serge, 1927- Introduction to linear algebra. (Undergraduate texls in mathematics) Includes index. 1. Aigebras, Linear. 1. Tille. II. Series. QAI84.L37 1986 512'.5 85-14758 Printed on acid-free paper. The first edillOn of tlii. book was published by Addison-Wesley Publishing Company, Inc., in 1970.

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