I n s t r u c t o r ’s Manual
Elementary Linear Algebra
A Matrix Approach
Second Edition
Spence Insel Friedberg
Upper Saddle River, NJ 07458
,Editorial Director, Computer Science, Engineering, and Advanced Mathematics: Marcia J. Horton
Senior Editor: Holly Stark
Editorial Assistant: Jennifer Lonschein
Senior Managing Editor: Scott Disanno
Supplement Cover Designer: Daniel Sandin
Manufacturing Buyer: Lisa McDowell
© 2008 by Pearson Education, Inc.
Pearson Prentice Hall
Pearson Education, Inc.
Upper Saddle River, NJ 07458
All rights reserved. No part of this book may be reproduced in any form or by any means, without permission in writ-
ing from the publisher.
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and pub-
lisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation con-
tained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages
in connection with, or arising out of, the furnishing, performance, or use of these programs.
Pearson Prentice Hall™ is a trademark of Pearson Education, Inc.
This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World
Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be
made available to students except by instructors using the accompanying text in their classes. All recipients of this
work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other
instructors who rely on these materials.
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
ISBN 0-13-230752-9
978-0-13-230752-9
Pearson Education Ltd., London
Pearson Education Australia Pty. Ltd., Sydney
Pearson Education Singapore, Pte. Ltd.
Pearson Education North Asia Ltd., Hong Kong
Pearson Education Canada, Inc., Toronto
Pearson Educación de Mexico, S.A. de C.V.
Pearson Education—Japan, Tokyo
Pearson Education Malaysia, Pte. Ltd.
Pearson Education, Inc., Upper Saddle River, New Jersey
,
,
Elementary Linear Algebra
A Matrix Approach
Second Edition
Spence Insel Friedberg
Upper Saddle River, NJ 07458
,Editorial Director, Computer Science, Engineering, and Advanced Mathematics: Marcia J. Horton
Senior Editor: Holly Stark
Editorial Assistant: Jennifer Lonschein
Senior Managing Editor: Scott Disanno
Supplement Cover Designer: Daniel Sandin
Manufacturing Buyer: Lisa McDowell
© 2008 by Pearson Education, Inc.
Pearson Prentice Hall
Pearson Education, Inc.
Upper Saddle River, NJ 07458
All rights reserved. No part of this book may be reproduced in any form or by any means, without permission in writ-
ing from the publisher.
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and pub-
lisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation con-
tained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages
in connection with, or arising out of, the furnishing, performance, or use of these programs.
Pearson Prentice Hall™ is a trademark of Pearson Education, Inc.
This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World
Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be
made available to students except by instructors using the accompanying text in their classes. All recipients of this
work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other
instructors who rely on these materials.
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
ISBN 0-13-230752-9
978-0-13-230752-9
Pearson Education Ltd., London
Pearson Education Australia Pty. Ltd., Sydney
Pearson Education Singapore, Pte. Ltd.
Pearson Education North Asia Ltd., Hong Kong
Pearson Education Canada, Inc., Toronto
Pearson Educación de Mexico, S.A. de C.V.
Pearson Education—Japan, Tokyo
Pearson Education Malaysia, Pte. Ltd.
Pearson Education, Inc., Upper Saddle River, New Jersey
,
,
