Linear algebra: Difference between revisions
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'''Linear algebra''' is a branch of [[mathematics]] encompassing a broad range of topics, such as [[systems of linear equations]], [[matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimensional or three-dimensional space (appearing, for instance, as forces in [[physics]]). More generally, the study of all of these topics can be systematized into the theory of [[vector space]]s. | '''Linear algebra''' is a branch of [[mathematics]] encompassing a broad range of topics, such as [[systems of linear equations]], [[matrix|matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimensional or three-dimensional space (appearing, for instance, as forces in [[physics]]). More generally, the study of all of these topics can be systematized into the theory of [[vector space]]s. | ||
Linear algebra has a vast range of applications, in part because of the ubiquity of systems of linear equations in scientific models and real-world problems. Other topics in linear algebra, such as [[matrix algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix representation]]s, and [[inner product]]s find broad application in [[science]]. | Linear algebra has a vast range of applications, in part because of the ubiquity of systems of linear equations in scientific models and real-world problems. Other topics in linear algebra, such as [[matrix|matrix algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix representation]]s, and [[inner product]]s find broad application in [[science]]. | ||
Linear algebra is an essential tool in other mathematical fields, such as [[differential equation]]s theory, [[functional analysis]], and [[differential geometry]]. | Linear algebra is an essential tool in other mathematical fields, such as [[differential equation]]s theory, [[functional analysis]], and [[differential geometry]]. | ||
Revision as of 01:13, 3 September 2010
Linear algebra is a branch of mathematics encompassing a broad range of topics, such as systems of linear equations, matrix algebra, and arrows in Cartesian two-dimensional or three-dimensional space (appearing, for instance, as forces in physics). More generally, the study of all of these topics can be systematized into the theory of vector spaces.
Linear algebra has a vast range of applications, in part because of the ubiquity of systems of linear equations in scientific models and real-world problems. Other topics in linear algebra, such as matrix algebra, eigenvalues and eigenvectors, linear operators, matrix representations, and inner products find broad application in science.
Linear algebra is an essential tool in other mathematical fields, such as differential equations theory, functional analysis, and differential geometry.