with Open Texts
A First Course in
LINEAR ALGEBRA
an Open Text
BASE TEXTBOOK
VERSION 2017 – REVISION A
ADAPTABLE | ACCESSIBLE | AFFORDABLE
by Lyryx Learning based on the original text by K. Kuttler
Creative Commons License (CC BY)
a d v a n c i n g l e a r n i n g
Champions of Access to Knowledge
OPEN TEXT ONLINE ASSESSMENT
All digital forms of access to our high-quality
open texts are entirely FREE! All content is
reviewed for excellence and is wholly adapt-
able; custom editions are produced by Lyryx
for those adopting Lyryx assessment. Access
to the original source files is also open to any-
one!
We have been developing superior online for-
mative assessment for more than 15 years. Our
questions are continuously adapted with the
content and reviewed for quality and sound
pedagogy. To enhance learning, students re-
ceive immediate personalized feedback. Stu-
dent grade reports and performance statistics
are also provided.
SUPPORT INSTRUCTOR SUPPLEMENTS
Access to our in-house support team is avail-
able 7 days/week to provide prompt resolution
to both student and instructor inquiries. In ad-
dition, we work one-on-one with instructors to
provide a comprehensive system, customized
for their course. This can include adapting the
text, managing multiple sections, and more!
Additional instructor resources are also freely
accessible. Product dependent, these supple-
ments include: full sets of adaptable slides and
lecture notes, solutions manuals, and multiple
choice question banks with an exam building
tool.
Contact Lyryx Today!
info@lyryx.com
a d v a n c i n g l e a r n i n g
A First Course in Linear Algebra an Open Text
BE A CHAMPION OF OER!
Contribute suggestions for improvements, new content, or errata:
A new topic
A new example
An interesting new question
A new or better proof to an existing theorem
Any other suggestions to improve the material
Contact Lyryx at info@lyryx.com with your ideas.
CONTRIBUTIONS
Ilijas Farah, York University
Ken Kuttler, Brigham Young University
Lyryx Learning Team
Bruce Bauslaugh
Peter Chow
Nathan Friess
Stephanie Keyowski
Claude Laflamme
Martha Laflamme
Jennifer MacKenzie
Tamsyn Murnaghan
Bogdan Sava
Larissa Stone
Ryan Yee
Ehsun Zahedi
LICENSE
Creative Commons License (CC BY): This text, including the art and illustrations, are available under
the Creative Commons license (CC BY), allowing anyone to reuse, revise, remix and redistribute the text.
To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/
https://creativecommons.org/licenses/by/4.0/
a d v a n c i n g l e a r n i n g
A First Course in Linear Algebra an Open Text
Base Text Revision History
Current Revision: Version 2017 — Revision A
Extensive edits, additions, and revisions have been completed by the editorial staff at Lyryx Learning.
All new content (text and images) is released under the same license as noted above.
2017 A
• Lyryx: Front matter has been updated including cover, copyright, and revision pages.
• I. Farah: contributed edits and revisions, particularly the proofs in the Properties of Determinants II:
Some Important Proofs section
2016 B
• Lyryx: The text has been updated with the addition of subsections on Resistor Networks and the
Matrix Exponential based on original material by K. Kuttler.
• Lyryx: New example 7.35 on Random Walks developed.
2016 A • Lyryx: The layout and appearance of the text has been updated, including the title page and newly
designed back cover.
2015 A
• Lyryx: The content was modified and adapted with the addition of new material and several im-
agesthroughout.
• Lyryx: Additional examples and proofs were added to existing material throughout.
2012 A
• Original text by K. Kuttler of Brigham Young University. That version is used under Creative Com-
mons license CC BY (https://creativecommons.org/licenses/by/3.0/) made possible by
funding from The Saylor Foundation’s Open Textbook Challenge. See Elementary Linear Algebra for
more information and the original version.
https://creativecommons.org/licenses/by/3.0/
https://www.saylor.org/site/wp-content/uploads/2012/02/Elementary-Linear-Algebra-1-30-11-Kuttler-OTC.pdf