Michael L. O'Leary - Linear Algebra

and if r 1, r 2, …, r kare real numbers,

Each section ends with a list of exercises. Some are computations, some are verifications where the job is to make a computation that illustrates a theorem from the section, and some involve proving results where remembering one’s logic and set theory and how to prove sentences will go a long way.

Solution manuals, one for students and one for instructors, are available. See the book’s page at wiley.com .

Lastly, this book was typeset using L AT EX from the free software distribution of T EX Live running in Arch Linux with the KDE Plasma desktop. Thediagramswere created using LibreOffice Draw.

Michael L. O’Leary

Glen Ellyn, Illinois

September, 2020

Thanks are due to Kalli Schultea, Senior Editor at Wiley, for her support of this project. Thanks are also due to Kimberly Monroe‐Hill and Gayathree Sekar, also at Wiley, for their work in producing this book.

I would like to thank some ofmy colleagues at College of DuPage who helped at various stages of this project. They are James Adduci, Christopher Bailey, Patrick Bradley, Jennifer‐Anne Hill, Rita Patel, and Matthew Wechter. I also thank my linear algebra classes of 2017, 2019, and 2020 who were good sports as I experimented on them with various drafts of this book. They found many errors and provided needed corrections.

On a personal note, I would like to express my gratitude to my parents for their continued caring and support; to my brother and his wife, who will make sure my niece learns her math; to my dissertation advisor, Paul Eklof, who taught me both set theory and algebra; to Robert Meyer, who introduced me to linear algebra; to David Elfman, who taught me about logic through programming on an Apple II; and tomy wife, Barb, whose love and patience supported me as I finished this book.

This book is accompanied by a companion website:

www.wiley.com/go/o’leary/linearalgebra

The website includes the solutions manual and will be live in the fall of 2021.

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