No Bullshit Guide to Linear Algebra Extended book preview The full book has 596 pages and includes 128 ex- ercises and 200 solved problems. This preview has been chosen to showcase some key aspects of the book (chapter intros, formulas, explana- tions, and figures). You can buy the full book for only US$29 at https://gum.co/noBSLA . No bullshit guide to linear algebra by Ivan Savov Copyright c Ivan Savov, 2014, 2017. All rights reserved. Published by Minireference Co. Montréal, Québec, Canada minireference.com | @minireference | fb.me/noBSguide For inquiries, contact the author at
[email protected] Library and Archives Canada Cataloguing in Publication Savov, Ivan, 1982-, author No bullshit guide to linear algebra / Ivan Savov. — Second edition. ISBN 978-0-9920010-2-5 (softcover) 1. Algebras, Linear–Textbooks. 2. Mathematics–Textbooks. 3. Textbooks. I. Title. QA184.2.S29 2017 512’.5 C2017-902491-4 Cover image: Jim Hefferon and Nicholas Longo, CC-BY-SA-2.5 http://commons.wikimedia.org/wiki/File:Linalg_parallelepiped.png Second edition v2.2 git commits master@1054:67a22f1 + vers/LA@1456:ac2c497 ISBN 978-0-9920010-2-5 10 9 8 7 6 5 4 3 2 1 Contents Preface ix Introduction 1 1 Math fundamentals 9 1.1 Solving equations . 10 1.2 Numbers . 12 1.3 Variables . 18 1.4 Functions and their inverses . 19 1.5 Basic rules of algebra . 23 1.6 Solving quadratic equations . 30 1.7 The Cartesian plane . 35 1.8 Functions . 37 1.9 Functions reference . 50 1.10 Geometry . 66 1.11 Trigonometry .