EDITORIAL COMMITTEE Gerald B. Folland (Chair) Joseph Silverman Jamie Pommersheim Susan Tolman 2010 Mathematics Subject Classification. Primary 15-01, 05-01. For additional information and updates on this book, visit www.ams.org/bookpages/amstext-24 Library of Congress Cataloging-in-Publication Data Shapiro, Helene, 1954– Linear algebra and matrices : topics for a second course / Helene Shapiro. pages cm. (Pure and applied undergraduate texts volume 24) Includes bibliographical references and index. ISBN 978-1-4704-1852-6 (alk. paper) 1. Algebra, Linear–Textbooks. Algebras, Linear–Study and teaching (Higher) 3. Matrices– Textbooks. 4. Matrices–Study and teaching (Higher) I. Title. QA184.2.S47 2015 512 .5—dc23 2014047088 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are handled by Copyright Clearance Center’s RightsLink service. For more information, please visit: http://www.ams.org/rightslink. Send requests for translation rights and licensed reprints to reprint-permission@ams.org. Excluded from these provisions is material for which the author holds copyright. In such cases, requests for permission to reuse or reprint material should be addressed directly to the author(s). Copyright ownership is indicated on the copyright page, or on the lower right-hand corner of the first page of each article within proceedings volumes. c 2015 by the author. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 20 19 18 17 16 15
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