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Linear Algebra - pku.edu.cn

Linear Algebra . Second Edition KENNETH 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. London Sydney PRENTICE-HALL INTERNATIONAL, INC., PRENTICE-HALL OF CANADA, LTD., Toronto PRENTICE-HALL OF AUSTRALIA, P'l'Y. W'D., PRENTICE-HALL OF INDIA PRIVATE LIMITED, New Delhi PRENTICE-HALL OF JAPAN, INC., Tokyo Current printing (last digit): 10 9 8 7 6. Library of Congress Catalog Card No. 75-142120. Printed in the United States of America Preface 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.

linear transformations, their algebra, their representation by matrices, as well as isomorphism, linear functionals, and dual spaces. Chapter 4 defines the algebra of polynomials over a field, the ideals in that algebra, and the prime factorization of a polynomial. It also deals with roots, Taylor's formula, and the Lagrange inter­ polation ...

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