
Guide Note
Linear algebra is a branch of mathematics that deals with systems of linear equations. Other topics include vectors, vector spaces and linear maps.
Fast Facts
- Dates to 1840s
- Matured in the 20th Century
- Devoted to theory of linear structure
- Applicable to natural and social sciences
- Not technically an algebra
Applications
Linear algebra can be applied any field where systems of linear equations are used. This includes predicting traffic flow, cryptography, graph theory, genetics and electrical circuits.
History
The origins of linear algebra trace back to when William Rowan Hamilton introduced quaternions as a three dimensional description of mechanics in 1943. In 1857, Arthur Cayley unveiled the concept of matrices but it was not until the 20th Century that these ideas were further developed into the more complete theory of linear algebra.
The Mahalo Top 7
- Wikipedia: Linear Algebra | List of Linear Algebra Topics
- Planet Math: Linear Algebra | Notations in Linear Algebra
- Wolfram Math World: Linear Algebra
- The Mathematical Atlas: Matrices and determinants
- University of Chicago: A Linear Algebra Mini-Primer I
- Egwald Mathematics: Linear Algebra
- Lamar University: Paul's Online Math Notes-Linear Algebra
Linear Algebra Recent News
- Google News: Linear Algebra News Search
- Yahoo! News: Linear Algebra News Search
Notable Figures in Linear Algebra
William Rowan Hamilton
- Wikipedia: William Rowan Hamilton
- University of Dublin: Sir William Rowan Hamilton
Herman Grassman
- Wikipedia: Hermann Grassmann
- The MacTutor History of Mathematics Archive: Hermann Günter Grassmann
Arthur Cayley
- Wikipedia: Arthur Cayley
- The MacTutor History of Mathematics Archive : Arthur Cayley
Francis Galton
- Wikipedia: Francis Galton
- American Scientist: The Secret History of Mathematicians
Linear Algebra Fun Stuff and Software
- University of California San Diego: Linear Algebra and Fun and Games
- University of Joensuu: Linear Algebra: Norm Puzzles In The Two-Dimensional Plane
- The Math Studio: The Algebra Game
- File Dudes: Algebra Games Search
- Pocket Gear: Pocket Linear Algebra Tutor
Linear Algebra Education Online Resources
- St Michael's College: Linear Algebra Textbook
- Number Theory: Elementary Linear Algebra Lecture Notes
- Macquarie University: Linear Algebra by WWL Chen
- Old Dominion University: Linear Algebra Toolkit
- Math Forum: Linear Algebra - Internet Resources
Linear Algebra Photos and Videos
- Google Video: MIT Linear Algebra Lectures
- Google Images: Linear Algebra Image Search
Linear Algebra Forums
- Math Forum: Ask Dr. Math
- Math Links: Linear Algebra
- University of Miami: Abstract and Linear Algebra
Linear Algebra Organizations and Societies
Linear Algebra Books and Publications
- Elsevier: Linear Algebra And Its Applications
- Google Books: Linear Algebra Books Search
- Amazon: Linear Algebra Books Search
- Half.com: Linear Algebra Books Search
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