linear algebra


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"Linear algebra" Introduction


From   Wikipedia , TutorVista
Wikipedia
linear algebra : Linear algebra is a branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory. It has extensive applications in the natural sciences and the social sciences, since nonlinear models can often be approximated by linear ones. Many of the basic tools of linear algebra, particularly those concerned with the solution of systems of linear equations, date to antiquity--- see e.g. the history of Gaussian elimination--- although many objects were not isolated and considered in their own right until the 1600s and 1700s (see the history of determinants). The method of least squares, first used by..   More from Wikipedia

linear algebra : In linear algebra, a ( linear) cone is a subset of a vector space that is closed under multiplication by positive scalars. In other words, a subset C of a real vector space V is a cone if and only if λ x belongs to C for any x in C and any positive scalar λ of V (or, more..   More from Wikipedia

Linear inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..
Linear Inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expre..

"Linear algebra" Videos


From   Youtube
  Lecture 1: The Geometry of Linear Equations. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  Lecture 2: Elimination with Matrices. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
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