Transcription of Advanced Engineering Mathematics
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San Diego San Francisco New York BostonLondon Toronto Sydney TokyoAlan JeffreyUniversity of Newcastle-upon-TyneSponsoring EditorBarbara HollandProduction EditorJulie BolducPromotions ManagerStephanie StevensCover DesignMonty Lewis DesignText DesignThompson Steele Production ServicesFront Matter DesignPerspectivesCopyeditorKristin LandonCompositionTechBooksPrinterRR Donnelley & Sons, book is printed on acid-free paper. CopyrightC 2002 by HARCOURT/ACADEMIC PRESSAll rights part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any informationstorage and retrieval system, without permission in writing from the for permission to make copies of any part of the work should be mailed to:Permissions Department, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, PressA Harcourt Science and Technology Company200 Wheeler Road, Burlington, Massachusetts 01803, PressA Harcourt Science and Technology Company525 B Street, Suite 1900, San Diego, California 92101-4495, PressHarcourt Place, 32 Jamestown Road, London NW1 7BY, of Congress Catalog Card Number: 00-108262 International Standard Book Number: 0-12-382592-XPRINTED IN THE UNITED STATES OF AMERICA010203040506 DOC987654321To Lisl and our familyThis Page Intentionally Left BlankCONTENTSP refacexvPART ONEREVIEW MATERIAL1 CHAPTER1 Review of Numbers, Mat
3.2 Some Problems That Give Rise to Matrices 120 3.3 Determinants 133 3.4 Elementary Row Operations, Elementary Matrices, and Their Connection with Matrix Multiplication 143 3.5 The Echelon and Row-Reduced Echelon Forms of a Matrix 147 3.6 Row and Column Spaces and Rank 152 3.7 The Solution of Homogeneous Systems of Linear Equations 155
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