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LINEAR ALGEBRA
Ideas and Applications
Fifth Edition
RICHARD C. PENNEY
Purdue University
This edition first published 2021
© 2021 John Wiley & Sons, Inc.
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Library of Congress Cataloging‐in‐Publication Data
Names: Penney, Richard C., author.
Title: Linear algebra : ideas and applications / Richard Cole Penney,
Purdue University.
Description: Fifth edition. | Hoboken : Wiley, 2021. | Includes index.
Identifiers: LCCN 2020029281 (print) | LCCN 2020029282 (ebook) | ISBN
9781119656920 (cloth) | ISBN 9781119656937 (adobe pdf) | ISBN
9781119656951 (epub)
Subjects: LCSH: Algebras, Linear–Textbooks.
Classification: LCC QA184.2 .P46 2021 (print) | LCC QA184.2 (ebook) | DDC
512/.5–dc23
LC record available at https://lccn.loc.gov/2020029281
LC ebook record available at https://lccn.loc.gov/2020029282
Cover Design: Wiley
Cover Image: © Flávio Tavares /Getty Images
PREFACE
I wrote this book because I have a deep conviction that mathematics is about ideas, not just formulas and algorithms, and not just theorems and proofs. The text covers the material usually found in a one or two semester linear algebra class. It is written, however, from the point of view that knowing why is just as important as knowing how.
To ensure that the readers see not only why a given fact is true but also why it is important, I have included a number of beautiful applications of linear algebra.
Most of my students seem to like this emphasis. For many, mathematics has always been a body of facts to be blindly accepted and used. The notion that they personally can decide mathematical truth or falsehood comes as a revelation. Promoting this level of understanding is the goal of this text.
RICHARD