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Academic Press - Linear Algebra And Linear Operators In Engineering - With Applications In Mathematica.pdf

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Academic Press - Linear Algebra And Linear Operators In Engineering - With Applications In Mathematica.pdf

文档介绍

文档介绍:LINEAR ALGEBRA
AND LINEAR OPERATORS
IN ENGINEERING
with Applications
in Mathematica
This is Volume 3 of
PROCESS SYSTEMS ENGINEERING
A Series edited by e Stephanopoulos and John Perkins
LINEAR ALGEBRA
AND LINEAR
OPERATORS
IN ENGINEERING
with Applications
in Mathematica
H. Ted Davis
Department of Chemical Engineering and Materials Science
University of Minnesota
Minneapolis, Minnesota
Kendall T. Thomson
School of Chemical Engineering
Purdue University
West Lafayette, Indiana
ACADEMIC PRESS
An Imprint ofEbevier
San Diego San Francisco New York Boston London Sydney Tokyo
This book is printed on acid-free paper, fe/
Copyright © 2000 by ACADEMIC PRESS
All Rights Reserved,
No part of this publication may be reproduced or transmitted in any fonn or by any
means, electronic or mechanical, including photocopy, recording, or any information
storage and retrieval system, without pennission in writing from the publisher.
Permissions may be sought directly frotn Elsevier's Science and Technology Rights Department in
Oxtbrd, UK. Phone: (44) 1865 843830, Fax: (44) 1865 853333, e-mail: ******@.
You may plete your request on-line via the Elsevier homepage: hllp://
selecting "Customer Support" and then "Obtaining Permissions".
Academic Press
An Imprint of Elsevier
525 B Street, Suite 1900, San Diego, CaUfomia 92101-4495, USA
$.com
Academic Press
Harcouit Place, 32 Jamestown Road, London NWl 7BY, UK
http;///ap/
Library of Congress Catalog Card Number: 00-100019
ISBN-13:978-0-12-206349-7
ISBN-10:0-12-206349-X
PRINTED IN THE UNITED STATES OF AMERICA
05 QW 98765432
CONTEKTS
PREFACE xi
I Determinants
. Synopsis 1
. Matrices 2
. Definition of a Determinant 3
. Elementary Properties of Determinants 6
. Cofactor Expansions 9
. Cramer's Rule for Linear Equations 14
. Minors and Rank of Matrices 16
Prob