文档介绍：Differential Equations with Linear Algebra
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Differential Equations
with Linear Algebra
Matthew R. Boelkins, J. L. Goldberg, and Merle C. Potter
3
2009
3
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Library of Congress Cataloging-in-Publication Data
Boelkins, Matthew R.
Differential equations with linear algebra / Matthew R. Boelkins, . Goldberg, Merle C. Potter.
p. cm.
Includes index.
ISBN 978-0-19-538586-1 (cloth)
1. Differential equations, Linear. 2. Algebras, Linear. I. Goldberg, Jack L. (Jack Leonard), 1932–
II. Potter, Merle C. III. Title.
2009
515 .354–dc22 2008050361
987654321
Printed in the United States of America
on acid-free paper
Contents
Introduction xi
1 Essentials of linear algebra 3
Motivating problems 3
Systems of linear equations 8
Row reduction using Maple 15
binations 21
Markov chains: an application of matrix-vector
multiplication 26
Matrix products using Maple 29
The span of a set of vectors 33
Systems of linear