文档介绍:LINEAR ALGEBRA
Second Edition
H HOFFMAN
Professor of Mathematics
Massachusetts Institute of Technology
RAY KUNZE
Professor of Mathematics
University of California, Irvine
PRENTICE-HALL, INC., Englewood Cliffs, New Jersey
@ 1971, 1961 by
Prentice-Hall, Inc.
Englewood Cliffs, New Jersey
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.
PRENTICE-HALL~NTERNATXONAL,INC., London
PRENTICE-HALLOFAUSTRALIA,PTY. LTD., Sydney
PRENTICE-HALL OF CANADA, LTD., Toronto
PRENTICE-HALLOFINDIA PRIVATE LIMITED, New Delhi
PRENTICE-HALL OFJAPAN,INC., Tokyo
Current printing (last digit) :
10 9 8 7 6
Library of Congress Catalog Card No. 75142120
Printed in the United States of America
Pfre ace
Our original purpose in writing this book was to provide a text for the under-
graduate linear algebra course at the Massachusetts Institute of Technology. This
course was designed for mathematics majors at the junior level, although three-
fourths of the students were drawn from other scientific and technological disciplines
and ranged from freshmen through graduate students. This description of the
. audience for the text remains generally accurate today. The ten years since
the first edition have seen the proliferation of linear algebra courses throughout
the country and have afforded one of the authors the opportunity to teach the
basic material to a variety of groups at Brandeis University, Washington Univer-
sity (St. Louis), and the University of California (Irvine).
Our principal aim in revising Linear Algebra has been to increase the variety
of courses which can easily be taught from it. On one hand, we have structured the
chapters, especially the more difficult ones, so that there are several natural stop-
ping points along the way, allowing the instructor in a one-quarter or one-semester
course to exercise a considerabl