文档介绍：LECTURES ON
LINEAR ALGEBRA
L M. GELTAND
Academy of Sciences, Moscow, .
Translated from the Revised Second Russian Edition
by A. SHENITZER
Adelphi College, Garden City, New York
INTERSCIENCE PUBLISHERS, INC., NEW YORK
INTERSCIENCE PUBLISHERS LTD., LONDON
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COPYRIGHT 0 1961 BY INTERSCIENCE PUBLISHERS, INC.
ALL RIGHTS RESERVED
LIBRARY OF CONGRESS CATALOG CARD NUMBER 61-8630
SECOND PRINTING 1963
PRINTED IN THE UNITED STATES OF AMERICA
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PREFACE TO THE SECOND EDITION
The second edition differs from the first in two ways. Some of the
material was substantially revised and new material was added. The
major additions include two appendices at the end of the book dealing
putational methods in linear algebra and the theory of pertur-
bations, a section on extremal properties of eigenvalues, and a section
on polynomial matrices ( §§ 17 and 21). As for major revisions, the
chapter dealing with the Jordan canonical form of a linear transforma-
tion was entirely rewritten and Chapter IV was reworked. Minor
changes and additions were also made. The new text was written in colla-
boration with Z. Ja. Shapiro.
I wish to thank A. G. Kurosh for making available his lecture notes
on tensor algebra. I am grateful to S. V. Fomin for a number of valuable
commentsFinally, my thanks go to M. L. Tzeitlin for assistance in
the preparation of the manuscript and for a number of suggestions.
September 1950 I. GELtAND
Translator's note: Professor Gel'fand asked that the two appendices
be left out of the English translation.
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PREFACE TO THE FIRST EDITION
This book is based on a course in