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View larger. Preview this title online. Request a copy. Download instructor resources. Additional order info. Buy this product. K educators : This link is for individuals purchasing with credit cards or PayPal only. With traditional texts, the early stages of the course are relatively easy as material is presented in a familiar, concrete setting, but students often hit a wall when abstract concepts are introduced.
Certain concepts fundamental to the study of linear algebra such as linear independence, vector space, and linear transformations require time to assimilate — and students' understanding of them is vital. Download Preface. This material is protected under all copyright laws, as they currently exist.
No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. Check out the preface for a complete list of features and what's new in this edition. Linear Equations in Linear Algebra. Important: To use the test banks below, you must download the TestGen software from the TestGen website.
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Connect with us to learn more. David C. 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. Cloth Bound with Access Card. We're sorry! We don't recognize your username or password.
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Linear Algebra and its Applications, 6th Edition. Lay, University of Maryland Judi J. Lay, Lee University. Description For courses in Linear Algebra. This is the week access card for MyLab Math. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.
Preface Preface is available for download in PDF format. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need — when and where they need it — to be successful. Multiple examples can now be viewed with the click of a button, leading to the formulation of conjectures that will later be proven. The geometry of linear algebra comes also comes alive as instructors show moving pictures illustrating concepts and definitions as they are discussed.
Later, generalizations of these concepts appear as natural extensions of familiar ideas. Their use enhances the geometric flavor of the text. In Chapter 1, for instance, linear transformations provide a dynamic and graphical view of matrix-vector multiplication.
Eigenvalues appear fairly early , in Chapters 5 and 7. Because this material is spread over several weeks, students have more time to absorb and to review these critical concepts. Eigenvalues are motivated by and applied to discrete and continuous dynamical systems. Projects can be used individually or in groups. Topics encompass a wide range of themes, from using linear transformations to create art to exploring additional ideas in mathematics.
Some applications appear in their own sections; others are treated within examples and exercises. Each chapter opens with an introductory vignette that sets the stage for some applications of linear algebra and provides a motivation for developing the mathematics that follows. Students are reminded frequently of issues that arise in real-life applications of linear algebra. Innovative questions pinpoint conceptual difficulties that the authors have found in student papers over the years.
Complete solutions follow the exercise set. New to This Edition. This allows faculty and students to interact with figures and examples on a wider variety of electronic, devices, without the need to install the CDF player.
Table of Contents 1. Uniqueness of the Reduced Echelon Form B. Complex Numbers. Share a link to All Resources. Instructor Resources. Websites and online courses. Other Student Resources. About the Author s. Lay was also a coauthor of several mathematics texts, including Introduction to Functional Analysis with Angus E. Taylor, Calculus and Its Applications, with L. Goldstein and D. Carlson, C. Johnson, and A. David Lay received four university awards for teaching excellence, including, in , the title of Distinguished Scholar—Teacher of the University of Maryland.
In , Aurora University conferred on him the Outstanding Alumnus award. He also served several terms on the national board of the Association of Christians in the Mathematical Sciences.
In October of , David Lay passed away, but his legacy continues to benefit students of linear algebra as they study the subject in this widely acclaimed text. Steven R. His career in mathematics was interrupted for eight years while serving as a missionary in Japan. Upon his return to the States in , 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. He and David, and their father, Dr. Judi J.
She holds a B. 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. Previous editions. Relevant Courses. Linear Algebra, Introductory Advanced Math. Sign In We're sorry! Username Password Forgot your username or password? Sign Up Already have an access code?
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David C. Lay University of Maryland — College Park. All rights reserved.
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