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If you have recommended papers in this site, please inform to us by email : sglee@skku.edu


Random Problem Generator 1.5
Sanggu Lee &
Sunkyunkwan university Matrix Lab.
This is a self
training system founded on the internet environment. In this system, you can
improve your mathematical knowledge about the linear algebra. It will make a
problem set which was generated randomly and you can intensify your linear algebra skills by solving the problem
set. If you passed elementary linear algebra classes, you can solve those
problemsets easily.
This system has been
developed by the linear algebra team in Sungkyunkwan University. If you have any comments for this system,
please contact us with your comments: sglee@skku.edu

URL

http://galois09.skku.ac.kr/rpgs1.5/


MATLAB in Education Web Page
MATLAB in Education
Web Page. The Mathworks, Inc., which produces MATLAB
software, maintains a large collection of mfiles, including mfiles related to
educational topics. Also at this web site are lists of applications papers using
MATLAB, lists textbooks about and/or using MATLAB, and a variety of other
resources. 
URL

http://www.mathworks.com/academia/


Easing Eigenvalues and Eigenvectors into Introductory Linear Algebra
Jeff Stuart
Abstract: We provide a series of exercises for a
first linear algebra course that introduces the concepts of eigenvalue,
eigenvector, and diagonalization. Using the simple, geometric idea of fixed
vectors and fixed directions, the basic aspects of eigenvectors as
multiplicative invariants of a matrix are emphasized. These exercises can be
assigned as soon as students have learned about matrix multiplication, linear
combinations of vectors, linear independence, and the solution of small linear
systems.

URL

http://matrix.skku.ac.kr/ilas/er/er1.pdf


Eigenvalues, Eigenvectors, and Polynomials in a Matrix
Jeff Stuart
Abstract: We provide further exercises for a
first linear algebra course that develop the relationship between polynomials
evaluated at a matrix, polynomials that annihilate a matrix, eigenvalues, and
diagonalization. This is all done using the geometric concept of an eigenvector
as a fixed direction for a matrix. These exercises are intended to follow the
exercises in ''Easing into Eigenvectors and Eigenvalues in Introductory Linear
Algebra''.

URL

http://matrix.skku.ac.kr/ilas/er/er2.pdf


Lessons Enhanced Using Technology
Park City Mathematics Institute Undergraduate Faculty Program
Summer,
1998
Abstract: Seven extended sample lessons that integrate various matrix
software packages. These were written by various participants in the PCMI
Undergraduate Faculty Program. There is also information on various types of
software and technology in use in the teaching of undergraduate linear algebra.

URL

http://matrix.skku.ac.kr/ilas/er/data/rts.htm


Journal of Online Mathematics and its Applications
All documents matching 'linear algebra education' 
URL

[Link]


Linear Algebra:
Complete set of Lessons

URL

[Links]


Linear Algebra Toolkit  Main Page
This Linear Algebra Toolkit is comprised of the modules listed below. Each module is designed to help a linear
algebra student learn and practice a basic linear algebra procedure, such as
GaussJordan reduction, calculating the determinant, or checking for linear
independence.
 Przemyslaw Bogacki.
 Department of Mathematics and Statistics
 Old
Dominion University
 Norfolk, VA 23529
 Phone: (757) 6833262
 Email: pbogacki@odu.edu

URL

http://www.math.odu.edu/~bogacki/cgibin/lat.cgi


mkaz.com
: Mathematics : Linear Algebra
Matrix Calculator (Java
Application) UPDATED: 20050630 A Java
application which lets you calculate the determinant, adjoint, inverse,
transpose, and more of a 'n x n' matrix. (Source Code Available)
Linear Algebra Calculator (JavaScript) A matrix calculator, which has the ability to
calculate the determinant, adjoint, and inverse of a '3 x 3' matrix.
Linear System of 3 Equations (JavaScript) A calculator that can solve a linear system of 3
equations and 3 unknowns, includes explanation on the mathematics behind it. 
URL

http://mkaz.com/math/line_alg.html


Exploratories
The goal of the Exploratories project is to begin the groundwork for a
nextgeneration approach to Webbased educational software. In our longterm
vision, the nextgeneration of learning technologies, manifested as full courses
and digital libraries of richly interactive educational software components
("learning objects") and curriculum units, will transform traditional teaching
as well as powerful Webbased offerings. Just as film began by mimicking
theater, today's Webbased courses imitate our traditional course models. In our
vision, a vocabulary for this new medium, developed through parallel, mutually
stimulating development of medium and content, will underlie the realization of
this new genre's full impact. Learn more about the Exploratories project, its
philosophy and goals in this section.
The Exploratory Project is a research project of the Brown University Computer
Graphics Research Group 
URL

[Link1]
[Link2]


Interactive Data Fitting
You might like to experiment with this demo in order to evaluate the
sensitivity of straight line fits to different types of data. For example, using
the "Add Points" option provided, input several points that lie approximately
along a line, and then observe that the LS and LAV fits are quite similar. Now
move a point or two (thereby simulating data recording errors or the occurrence
of "outlier" points), and note that the LAV fit is usually less influenced than
the LS fit by these changes in the data. Statisticians refer to LAV fits as
being more "robust" than LS fits, although they can provide deeper mathematical
insight into LS fits in general.
Enjoy the demo, and please contact BCS by
email if you need assistance in solving challenging curve fitting
problems. 
URL

http://www.barrodale.com/java_demo/index.htm


Lights Out
This is a java version of the commercially marketed game Lights Out from Tiger Electronics. By clicking in the
squares, try to make all of the circles disappear. It's easy to solve the game
using your favorite linear algebra package. (Or you can press the "Solve" button
to cheat.) 
URL

[Link1]
[Link2]


AN INTRODUCTION TO TOTAL LEAST SQUARES
This contains a tutorial paper written by Pieter de
Groen. This paper provides an elementary introduction to
Total Least Squares. There are two accompanying eps files for the paper:
eps
file 1a and eps file
1c. Pieter de Groen has written a textbook on Total
Least Squares that has been published in 'Nieuw Archief', the journal of the
Dutch Mathematical Society.

URL

http://matrix.skku.ac.kr/ilas/er/tasw1.pdf


Multilinear Algebra
Russ Merris has written a book entitled Multilinear Algebra. His description of the book
is as follows: " Ideally suited for a fourth year undergraduate "capstone"
course, Multilinear Algebra is
also an attractive choice for a beginning graduate course and/or as a research
reference. The first four chapters consist of selfcontained introductions to
those prerequisite notions beyond the standard third year undergraduate courses
in abstract and linear algebra. Apart from applications to graph theory and the
"excursion" into Invariant Theory, the use of Schur functions as a unifying
vehicle in the final chapter may be of particular interest to
combinatorialists." For the table of contents and purchase information.

URL

http://matrix.skku.ac.kr/ilas/er/merris_book.txt


Numerical Linear Algebra
Lloyd N. Trefethen and David Bau, III have recently written a
text on numerical linear algebra. For review comments on the text, a description
of the philosophy of the authors and their intended graduate level audience, and
a detailed table of contents.

URL

http://matrix.skku.ac.kr/ilas/er/trefbau_book.txt

