文档介绍:Instructor’s 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
**********
ISBN 0-13-229655-1
Pearson Education, Ltd., London
Pearson Education Australia PTY. Limited, Sydney
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Pearson Education Canada, Ltd., Toronto
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Contents
Preface iii
1 Linear Equations and Matrices 1
Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Matrix Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Algebraic Properties of Matrix Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Special Types of Matrices and Part