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This is a special edition of an established title widely used by colleges and

universities throughout the world. Pearson published this exclusive edition

for the benet of students outside the United States and Canada. If you

purchased this book within the United States or Canada, you should be aware

that it has been imported without the approval of the Publisher or Author.

GLOBAL

EDITION

GLOBAL

EDITION

Linear Algebra and Its Applications

SIXTH EDITION

David C. Lay • Steven R. Lay • Judi J. McDonald

GLOBAL

EDITION

Linear Algebra and Its Applications

SIXTH

EDITION

Linear Algebra and Its Applications, now in its sixth edition, not only follows the recommendations

of the original Linear Algebra Curriculum Study Group (LACSG) but also includes ideas currently

being discussed by the LACSG 2.0 and continues to provide a modern elementary introduction to

linear algebra. This edition adds exciting new topics, examples, and online resources to highlight

the linear algebraic foundations of machine learning, artiﬁcial intelligence, data science, and digital

signal processing.

Features

• Many fundamental ideas of linear algebra are introduced early, in the concrete setting of

, and then gradually examined from dierent points of view.

• Utilizing a modern view of matrix multiplication simpliﬁes many arguments and ties

vector space ideas into the study of linear systems.

• Every major concept is given a geometric interpretation to help students learn better by

visualizing the idea.

• Keeping with the recommendations of the original LACSG, because orthogonality plays an

important role in computer calculations and numerical linear algebra, and because inconsistent

linear systems arise so often in practical work, this title includes a comprehensive treatment

of both orthogonality and the least-squares problem.

• Projects at the end of each chapter on a wide range of themes (including using linear

transformations to create art and detecting and correcting errors in encoded messages) enhance

student learning.

• NEW! Reasonable Answers advice and exercises encourage students to ensure their computations

are consistent with the data at hand and the questions being asked.

Available separately for purchase is MyLab Math for Linear Algebra and Its Applications, the teaching

and learning platform that empowers instructors to personalize learning for every student. When

combined with Pearson’s trusted educational content, this optional suite helps deliver the learning

outcomes desired. This edition includes interactive versions of many of the ﬁgures in the

text, letting students manipulate ﬁgures and experiment with matrices to gain a deeper geometric

understanding of key concepts and principles.

Lay • Lay • McDonald

CVR_LAY1216_06_GE_CVR_Vivar.indd 1 09/04/21 12:22 PM

Pearson Education Limited

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United Kingdom

and Associated Companies throughout the world

Visit us on the World Wide Web at:

www.pearsonglobaleditions.com

The rights of David C. Lay, Steven R. Lay, and Judi J. McDonald to be identified as the authors of this work have been

asserted by them in accordance with the Copyright, Designs and Patents Act 1988.

Authorized adaptation from the United States edition, entitled

Linear Algebra and Its Applications

, 6th Edition, ISBN

978-0-13-585125-8 by David C. Lay, Steven R. Lay, and Judi J. McDonald

form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the prior written

permission of the publisher or a license permitting restricted copying in the United Kingdom issued by the Copyright

Licensing Agency Ltd, Saffron House, 6–10 Kirby Street, London EC1N 8TS.

All trademarks used herein are the property of their respective owners. The use of any trademark in this text does not

vest in the author or publisher any trademark ownership rights in such trademarks, nor does the use of such trademarks

imply any affiliation with or endorsement of this book by such owners. For information regarding permissions, request

forms, and the appropriate contacts within the Pearson Education Global Rights and Permissions department, please

visit www.pearsoned.com/permissions.

This eBook is a standalone product and may or may not include all assets that were part of the print version. It also

does not provide access to other Pearson digital products like MyLab and Mastering. The publisher reserves the right to

remove any material in this eBook at any time.

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library

ISBN 10: 1-292-35121-7

ISBN 13: 978-1-292-35121-6

eBook ISBN 13: 978-1-292-35122-3

To my wife, Lillian, and our children,

Christina, Deborah, and Melissa, whose

support, encouragement, and faithful

prayers made this book possible.

David C. Lay

About the Authors

David C. Lay

As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group

(LACSG), David Lay was a leader in the movement to modernize the linear algebra

curriculum and shared those ideas with students and faculty through his authorship

of the ﬁrst four editions of this textbook. David C. Lay earned a B.A. from Aurora

University (Illinois), and an M.A. and Ph.D. from the University of California at Los

Angeles. David Lay was an educator and research mathematician for more than 40

years, mostly at the University of Maryland, College Park. He also served as a visiting

professor at the University of Amsterdam, the Free University in Amsterdam, and the

University of Kaiserslautern, Germany. He published more than 30 research articles on

functional analysis and linear algebra. Lay was also a coauthor of several mathematics

texts, including Introduction to Functional Analysis with Angus E. Taylor, Calculus

and Its Applications, with L. J. Goldstein and D. I. Schneider, and Linear Algebra

Gems—Assets for Undergraduate Mathematics, with D. Carlson, C. R. Johnson, and

A. D. Porter.

David Lay received four university awards for teaching excellence, including, in

1996, the title of Distinguished Scholar-Teacher of the University of Maryland. In 1994,

he was given one of the Mathematical Association of America’s Awards for Distin-

guished College or University Teaching of Mathematics. He was elected by the univer-

sity students to membership in Alpha Lambda Delta National Scholastic Honor Society

and Golden Key National Honor Society. In 1989, Aurora University conferred on him

the Outstanding Alumnus award. David Lay was a member of the American Mathe-

matical Society, the Canadian Mathematical Society, the International Linear Algebra

Society, the Mathematical Association of America, Sigma Xi, and the Society for In-

dustrial and Applied Mathematics. He also served several terms on the national board of

the Association of Christians in the Mathematical Sciences.

In October 2018, David Lay passed away, but his legacy continues to beneﬁt students

of linear algebra as they study the subject in this widely acclaimed text.

4 About the Authors

Steven R. Lay

Steven R. Lay began his teaching career at Aurora University (Illinois) in 1971, after

earning an M.A. and a Ph.D. in mathematics from the University of California at Los

Angeles. His career in mathematics was interrupted for eight years while serving as a

missionary in Japan. Upon his return to the States in 1998, he joined the mathematics

faculty at Lee University (Tennessee) and has been there ever since. Since then he has

supported his brother David in reﬁning and expanding the scope of this popular linear

algebra text, including writing most of Chapters 8 and 9. Steven is also the author of three

college-level mathematics texts: Convex Sets and Their Applications, Analysis with an

Introduction to Proof, and Principles of Algebra.

In 1985, Steven received the Excellence in Teaching Award at Aurora University.

He and David, and their father, Dr. L. Clark Lay, are all distinguished mathematicians,

and in 1989, they jointly received the Outstanding Alumnus award from their alma

mater, Aurora University. In 2006, Steven was honored to receive the Excellence in

Scholarship Award at Lee University. He is a member of the American Mathematical

Society, the Mathematics Association of America, and the Association of Christians in

the Mathematical Sciences.

Judi J. McDonald

Judi J. McDonald became a co-author on the ﬁfth edition, having worked closely with

David on the fourth edition. She holds a B.Sc. in Mathematics from the University

of Alberta, and an M.A. and Ph.D. from the University of Wisconsin. As a professor

of Mathematics, she has more than 40 publications in linear algebra research journals

and more than 20 students have completed graduate degrees in linear algebra under her

supervision. She is an associate dean of the Graduate School at Washington State Uni-

versity and a former chair of the Faculty Senate. She has worked with the mathematics

outreach project Math Central (http://mathcentral.uregina.ca/) and is a member of the

second Linear Algebra Curriculum Study Group (LACSG 2.0).

Judi has received three teaching awards: two Inspiring Teaching awards at the Uni-

versity of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at

Washington State University. She also received the College of Arts and Sciences Insti-

tutional Service Award at Washington State University. Throughout her career, she has

been an active member of the International Linear Algebra Society and the Association

for Women in Mathematics. She has also been a member of the Canadian Mathematical

Society, the American Mathematical Society, the Mathematical Association of America,

and the Society for Industrial and Applied Mathematics.

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yuxinbo

2024-03-08

这应该是唯一一个可以下载最新版的地方，我已经搜了一天，网上有一版扫描的pdf，要8百多兆，都是图片，看着累，所以非常感谢分享。

Linear Algebra and Its Applications, Global 6th Edition

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