{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

A First Course in Linear Algebra

A First Course in Linear Algebra - A First Course in Linear...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A First Course in Linear Algebra A First Course in Linear Algebra by Robert A. Beezer Department of Mathematics and Computer Science University of Puget Sound Version 2.12 Robert A. Beezer is a Professor of Mathematics at the University of Puget Sound, where he has been on the faculty since 1984. He received a B.S. in Mathematics (with an Emphasis in Computer Science) from the University of Santa Clara in 1978, a M.S. in Statistics from the University of Illinois at Urbana-Champaign in 1982 and a Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign in 1984. He teaches calculus, linear algebra and abstract algebra regularly, while his research interests include the applications of linear algebra to graph theory. His professional website is at http://buzzard.ups.edu . Edition Version 2.12. April 8, 2009. Publisher Robert A. Beezer Department of Mathematics and Computer Science University of Puget Sound 1500 North Warner Tacoma, Washington 98416-1043 USA c 2004 by Robert A. Beezer. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the appendix entitled GNU Free Documentation License. The most recent version of this work can always be found at http://linear.ups.edu . To my wife, Pat. Contents Table of Contents vi Contributors vii Denitions viii Theorems ix Notation x Diagrams xi Examples xii Preface xiii Acknowledgements xviii Part C Core Chapter SLE Systems of Linear Equations 2 WILA What is Linear Algebra? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 LA Linear + Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 AA An Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 READ Reading Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 EXC Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 SOL Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 SSLE Solving Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 SLE Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 PSS Possibilities for Solution Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 ESEO Equivalent Systems and Equation Operations . . . . . . . . . . . . . . . . . . . . 11 READ Reading Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 EXC Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 SOL Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 RREF Reduced Row-Echelon Form . RREF Reduced Row-Echelon Form ....
View Full Document

{[ snackBarMessage ]}