A Course in Linear Algebra With Applications 9810205686.pdf

A Course in Linear Algebra with Applications
A Course in
~
with Applications
Derek J. S. Robinson
Department of Mathematics
University of lllinois at UrbanaChampaign,USA
World Scientific
Singapore New Jersey London Hong Kong
Published by
World Scientific Publishing Co. Pte. Ltd.
P 0 Box 128, Farrer Road, Singapore 912805
LISA office: Suite lB, 1060 Main Street, River Edge, NJ 07661
LIK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
First published 1991
First reprint 1995
Library of Congress Cataloging-in-PublicationData
Robinson, Derek John Scott.
A course in linear algebra with applications/ Derek J. S.
Robinson.
xiii + 422 p. cm.
Includes bibliographical references and index.
ISBN 9810205678
ISBN 981020568-6 (pbk)
1. Algebras, Linear. I. Title.
1991
512’.5--dc20 9 1- 13207
CIP
British Library Cataloguing-in-PublicationData
A catalogue record for this book is available from the British Library.
Copyright Q 1991 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereoJ may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permissionfrom the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright
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This book is printed on acid-free paper.
Printed in Singapore by UtePrint
For
JUDITH, EWAN, and GAVIN
vii
PREFACE
A rough and ready definition of linear algebra might be: that part of
algebra which is concerned with quantities of the first degree. Thus, at the very
simplest level, it involves the solution of systems of linear equations, and in a real
sense this elementary problem underlies the whole subject. Of all the branches of
algebra