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A first course in Linear Algebra(Free Text Book)
This page contains more explanation about this project. The preface from Version 2.00 contains more specific details about how and why I wrote this book and is a good place to begin. The News section below lists some of the milestones in the development of the book, while greater detail can be found in the current Change Log, which is available off the Download page. The Download page also includes a link to two sample sections. 
URL

http://linear.ups.edu/about.html


Matrix Analysis and Applied
Linear Algebra
This book evolved over a period of several years
through many different courses populated by hundreds of undergraduate
and graduate students. To all my students and colleagues who have
offered suggestions, corrections, criticisms, or just moral support,
I offer my heartfelt thanks, and I hope to see as many of you as
possible at some point in the future so that I can convey my feelings
to you in person. I am particularly indebted to my students for
conversations and suggestions that led to several improvementsspecial
thanks goes to Michele Benzi. All writers are influenced by people
who have written before them, and for me these writers include Gil
Strang, Jim Ortega, Gene Golub, Charlie Van Loan, Leonid Mirsky,
Ben Noble, Roger Horn, Charlie Johnson, Peter Lancaster, Paul Halmos,
Franz Hohn, Richard Bellman, Nick Rose, and Pete Stewartthanks
for lighting the path. I want to offer particular thanks to Richard
J. Painter and Franklin A. Graybill, two exceptionally fine teachers,
for giving a rough Colorado farm boy a chance to pursue his dreams.
Finally, neither this book nor anything else I have done in my career
would have been possible without the love, help, and unwavering
support from Bethany, my friend, partner, and wife. Her multiple
readings of the manuscript and suggestions were invaluable. I dedicate
this book to Bethany and our children, Martin and Holly, to our
granddaughters, Margaret and Allison, and to the memory of my parents,
Carl and Louise Meyer.

URL

http://matrixanalysis.com/DownloadChapters.html


Introduction to Matrix
Algebra
Autar K Kaw, Professor, University of
South Florida
Copyright (c) 2007, Autar K Kaw. All
rights reserved
This book
is written primarily for students who
 are at freshman level or
 do not take a full course in Linear/Matrix Algebra,
or
 are wanting a contemporary and applied approach to Matrix
Algebra.
I am making this book available FREE of charge at this time.
If you use this book, I would like your
comments for future editions of the ebook.
This book is copyrighted under U.S.
Copyright Law. The author grant you the right to download and print it for your
personal use or for nonprofit instructional use. Any other use, including
copying, distributing or modifying the work for commercial purposes, is subject
to the restrictions of U.S. and international Copyright Laws. 
URL

[LINK]


Elements of Abstract and Linear Algebra
Author : Edwin H. Connell
This is a foundational textbook on abstract algebra with emphasis on linear
algebra. You may download parts of the book or the entire textbook. It is
provided free online in PDF, DVI, postscript, and gzipped postscript.
Please read some words from the author
first.
Join the revolution in education! Write a supplement to this book and put it online.
Participate in and contribute to a forum on abstract and linear
algebra. Ask questions, give answers, and make comments in a worldwide classroom
with the internet as blackboard. 
URL

http://www.math.miami.edu/~ec/book/


On the Centrality of Linear Algebra in the Curriculum
Author : Carl C. Cowen
Remarks on receiving the Deborah and Franklin Tepper Haimo Award for
Distinguished College or University Teaching of Mathematics, San Diego
California, January 1997.
 Introduction
 A Little History
 The Reform of the Linear Algebra Course
 The Role of the Computer in the Classroom
 References
While this
is an opportunity for me to lay out my "secrets" for successful teaching, I have
too few secrets and they are too well known for me to talk for more than a few
minutes about them. 
URL

http://www.maa.org/features/cowen.html


Linear Algebra Gems: Assets for Undergraduate Mathematics
edited by David Carlson, Charles R. Johnson, David C. Lay, and A. Duane Porter
Reviewed by Michele Intermont
Around 1990, the teaching of linear algebra came under examination, following
the trend of calculus reform. The Linear Algebra Curriculum Study Group
has been a dominant voice in leading the discussion since that time. The group,
under the capable editorship of David Carlson, Charles Johnson, David Lay and
Duane Porter, has once again provided a valuable resource for revitalizing one
of the most basic courses in the math curriculum with this publication.
Having just finished teaching linear algebra for the first time last spring,
and preparing to embark on my second opportunity, I was delighted to find
Linear Algebra Gems: Assets for Undergraduate Mathematics, just before
the start of classes. As with most who teach this course, I imagine, I found
that only some of my students were mathematics majors. Many were computer
science majors, some were economics majors, and several were undecided about
which of these fields to pursue. When I picked up the book, I expected to find
some ideas not only about the topics in the course, but also some reflections on
the relevance of linear algebra outside of mathematics. I'm not sure where I
could have gotten the idea that the book would provide some motivation to give
my students; that's clearly not something the editors were attempting to do in
this volume. (In fact, as mentioned below, there are such articles in a
different MAA volume). But I was definitely rewarded in the mathematics I found.

URL

http://www.maa.org/reviews/LAgems.html


LAVA : Linear Algebra Visualization
Assistant
WelcomeWelcome to LAVA, the Linear Algebra Visualization Assistant.
This interactive toolkit is designed to introduce concepts usually covered in
a first course in linear algebra. The topics are presented in an informal,
casual manner. The student is periodically asked questions designed to stimulate
him or her to review previous material, reflect over material just presented, or
to consider alternative approaches. The feedback from the questions is immediate
and usually offers extended explantion tailored to address reason why an correct
or incorrect answer was selected.
Since abstract concepts in mathematics are often best understood by forming
an analogy with something concrete, LAVA makes use of interactive applets
designed to foster a geometrical understanding of the concepts it presents.
Often, this means that we are restricted to linear systems of two or three
equations and to matrices of cooresponding size. However, once concepts such as
linear independence and eigenvectors are understood in these simple,
easytovisualize situations, it becomes much easier to work with higher
dimensional problems, or even with vector spaces other than
R^{n}. 
URL

http://www.mathcs.gordon.edu/~senning/lava/lava.html

