Davis - The Mathematics of Matrices - A First Book of Matrix Theory and Linear Algebra - Second Edition.pdf

The Mathematics
of Matrices
A FIRST BOOK OF MATRIX THEORY
AND LINEAR ALGEBRA
SECOND EDITION
by Philip J. Davis
BROWN UNIVERSITY
John Wiley and Sons, Inc.
New York • Santa Barbara • London • Sydney • Toronto
Second Edition Copyright ©1973 by John Wiley & Sons, Inc.
First Edition copyright © 1965 by Xerox Corporation.
All rights reserved. Permission in writing must be obtained
from the publisher before any part of this publication may
be reproduced or transmitted in any form or by any means,
electronic or mechanical, including photocopy, recording,
for any information storage or retrieval system.
ISBN 0 471 00928 8
Library of Congress Catalog Card Number: 72-93943
Printed in the United States of America.
10 9 8 7 6 5 4 3
To Ernie and to Joe
and once again
to
Handy
Preface to the Second Edition
HE USE OF MATRICES has now extended beyond mathematics and the
T physical sciences to business and economics, psychology, and the
social and political sciences. The wide use of the first edition of this book
confirms the opinion that matrix algebra can and should be introduced to
the student as early as possible.
In the years since preparing the first edition, time-puter
facilities and interactive languages have e widely available. Many
of these languages (such as APL) have extremely convenient matrix
implementation which is close to classical matrix notation. This makes
available many simplifications in setting putation and hence is a
further reason for learning matrix algebra.
I have recently been using this text for the matrix part of a freshman
course called "The Introduction to Applied Mathematics." This course
puter facilities routinely and-while by no means necessary•
I believe puter serves at once to drive home certain theoretical
points and to offer the opportunity of handling problems of realistic pro•
portions.
In the Second Edition of this book, a number of minor errors