文档介绍：linear algebra
AN INTRODUCTION
WITH CONCURRENT EXAMPLES
A. G. HAMILTON
Department puting Science, University of Stirling
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CAMBRIDGE UNIVERSITY PRESS
Cambridge
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Published by the Press Syndicate of the University of C'ambridge
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@ Cambridge University Press 1989
First published 1989
Printed in Great Britain at the University Press, Cambridge
British Library cataloguing in publication data
Hamilton, A. G. (Alan G.)
Linear algebra.
1. Linear algebra.
I. Title II. Hamilton, A. G. (Alan G.)
Linear algebra: an introduction with,
concurrent examples
512'.5
Library of Congress cataloguing in publication data
Hamilton, A. G., 1943-
Linear algebra: an introduction with concurrent examples / A. G. Hamilton
p. em.
Includes index.
1. Algebras, Linear. I. Title.
1989
----<ic19 88-31177CIP
ISBN 0 521 32517 X hard covers
ISBN 0 521 31042 3 paperback
Me
CONTENTS
Preface VII
Part 1
1 Gaussian elimination 1
Description and application of an algorithm to reduce a matrix to row
echelon form
2 Solutions to simultaneous equations 1 11
Use of the GE algorithm. The different possible es. Inconsistent
equations. Solutions involving arbitrary parameters.
3 Matrices and algebraic vectors 23
Sums and products of matrices. Algebraic laws. Simultaneous linear
equations considered as a single matrix equation.
4 Special matrices 33
Zero matrix, diagonal matrices, identity matrices. Transpose of a matrix,
symmetric and skew-symmetric matrices. Elementary matrices and their
relation with