Linear Algebra on the Internet

M.I.T.'s Linear Algebra Course
M.I.T.'s Linear Algebra Videos
These are videos of the linear algebra course taught by Prof. Gilbert Strang at M.I.T.

Linear Algebra Demos
LAVA - Linear Algebra Visualization Assistant
Each of these is a link to a collection of "applets" (small programs that run in a web page) that demonstrate and explain some important ideas from linear algebra.

Linear Algebra Calculator
Linear Algebra Toolkit
Linear Algebra Calculators
These web pages contain online linear algebra "calculators". You can use these calculators to do many of the calculations that we learn about in class, like solving a linear system of equations, computing an inverse matrix, finding eigenvalues and eigenvectors, etc.

Coordinate Transforms Overview Page
Transformation Game Overview Page
Vector Cross Product - JAVA Interactive Tutorial
Interactive Data Fitting (Least-Squares)
Each of these links is to an applet that demonstrates one idea from linear algebra. More applets can be found at this page and at this page.

Applications of Linear Algebra and Matrices to Electronics
Application of Linear Algebra and Matrices to Robotics
These two pages shows how linear algebra is used to solve some common and important problems in robotics and DC circuit analysis. Some other applications of linear algebra can be found from this page about How Is Math Used In Technology.

"Lights"
Solution to the puzzle "Lights"
These two links show how linear algebra can be used to find solutions to an interesting game called "Lights", which is similar to a game called "Lights Out" (see below). The solution to "Lights Out" is a bit more difficult but it is also based on linear algebra.

"Lights Out"
Turning Lights Out with Linear Algebra
An All Ones Problem
These links show how linear algebra can be used to find solutions to the game "Lights Out". Here is a page about all of the different versions of "Lights Out" and another explanation of the linear algebra behind the solution. (There are some references to print versions of the solution at the bottom of this page.)

Materials for Linear Algebra (CCP)
VLA - Visual Linear Algebra
Matrix Algebra Education Pack
These are links to packages that can be used to do linear algebra with various mathematical computer programs, like MATLAB, Maple, Mathematica, and MathCad.

Glossary of Linear Algebra Terms
Linear algebra - Wikipedia
Linear Algebra Glossary
Linear Algebra Entries in the Mathematical Programming Glossary
The first two links very closely match what is covered in an introductory linear algebra course. The other two glossaries contain a wealth of information about more advanced ideas in linear algebra.

Matrix Analysis & Applied Linear Algebra
Introduction to Matrix Algebra
Elements of Abstract and Linear Algebra
Linear Algebra
Linear algebra textbooks that are available online.

Matrices and determinants
Abstract linear spaces
Hermann Grassmann and the Creation of Linear Algebra
These three links are to material on the history of matrices and linear algebra.

On the Centrality of Linear Algebra in the Curriculum by Carl Cowen
The College Mathematics Journal, Vol. 24, No. 1, Jan., 1993, Special Issue on Linear Algebra
Gems of Exposition in Elementary Linear Algebra, College Mathematics Journal, Vol. 23, No. 4
A review of the book
Resources for Teaching Linear Algebra
A review of the book
Linear Algebra Gems
ILAS Matrix Theory Education Web Site
ATLAST Project
These are links to resources about the teaching of linear algebra. These links are, not surprisingly, meant primarily for teachers of linear algebra courses.


Return to the MA 265 home page.


compliments and criticisms