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.
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