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Instructors Solutions Manual Elementary Linear Algebra with Applications Ninth Edition Bernard Kolman Drexel University David R. Hill Temple University Editorial Director, Computer Science, Engineering, and Advanced Mathematics: Marcia J. Horton Senior Editor: Holly Stark Editorial Assistant: Jennifer Lonschein Senior Managing Editor/Production Editor: Scott Disanno Art Director: Juan L opez Cover Designer: Michael Fruhbeis Art Editor: Thomas Benfatti Manufacturing Buyer: Lisa McDowell Marketing Manager: Tim Galligan Cover Image: (c) William T. Williams, Artist, 1969 Trane, 1969 Acrylic on canvas, 108 84 . Collection of The Studio Museum in Harlem. Gift of Charles Cowles, New York. c 2008, 2004, 2000, 1996 by Pearson Education, Inc. Pearson Education, Inc. Upper Saddle River, New Jersey 07458 Earlier editions c 1991, 1986, 1982, by KTI; 1977, 1970 by Bernard Kolman All rights reserved. No part of this book may be reproduced, in any form or by any means, without permission in writing from the publisher. Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN 0-13-229655-1 Pearson Education, Ltd., London Pearson Education Australia PTY. Limited, Sydney Pearson Education Singapore, Pte., Ltd Pearson Education North Asia Ltd, Hong Kong Pearson Education Canada, Ltd., Toronto Pearson Educacion de Mexico, S.A. de C.V. Pearson EducationJapan, Tokyo Pearson Education Malaysia, Pte. Ltd Contents Preface iii 1 Linear Equations and Matrices 1 1.1 Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Matrix Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Algebraic Properties of Matrix Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 Special Types of Matrices and Partitioned Matrices . . . . . . . . . . . . . . . . . . . . . . . . 9 1.6 Matrix Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.7 Computer Graphics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.8 Correlation Coecient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Supplementary Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2 Solving Linear Systems 27 2.1 Echelon Form of a Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.2 Solving Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.3 Elementary Matrices; Finding A 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.4 Equivalent Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 322.... View Full Document

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