# Linear Algebra

## Applications

Applications of linear algebra have grown rapidly since the introduction of the computer. Finding the inverse of a matrix, especially one that has hundreds or thousands of rows and columns, is a task easily performed by computer in a relatively short time. Virtually any problem that can be translated into the language of linear **mathematics** can be solved, provided a solution exists. Linear algebra is applied to problems in transportation and communication to route traffic and information; it is used in the fields of **biology**, sociology, and **ecology** to analyze and understand huge amounts of data; it is used daily by the business and economics community to maximize profits and optimize purchasing and manufacturing procedures; and it is vital to the understanding of physics, **chemistry**, and all types of **engineering**.

See also Solution of equation.

## Resources

### Books

Bittinger, Marvin L:, and Davic Ellenbogen. *Intermediate Algebra: Concepts and Applications.* 6th ed. Reading, MA: Addison-Wesley Publishing, 2001.

Garfunkel, Soloman A., ed. *For All Practical Purposes, Introduction to Contemporary Mathematics.* New York: W. H. Freeman, 1988.

Larson, Ron. *Calculus With Analytic Geometry.* Boston: Houghton Mifflin College, 2002.

Swokowski, Earl W. *Pre Calculus, Functions, and Graphs.* 6th ed. Boston: PWS-KENT Publishing Co., 1990.

Weisstein, Eric W. *The CRC Concise Encyclopedia of Mathematics.* New York: CRC Press, 1998.

J. R. Maddocks

## Additional topics

Science EncyclopediaScience & Philosophy: *Laser - Background And History* to *Linear equation*Linear Algebra - Historical Background, Fundamental Principles, Matrices, Applications - Vectors