Linear algebra
is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It is the study of lines, planes, and subspaces and their intersections using algebra. Linear algebra assigns vectors as the coordinates of points in a space, so that operations on the vectors define operations on the points in the space.
Linear Algebra
The set of points with coordinates that satisfy a linear equation form a hyperplane in an n-dimensional space. The conditions under which a set of n hyperplanes intersect in a single point is an important focus of study in Linear algebra. Such an investigation is initially motivated by a system of linear equations containing several unknowns. Such equations are naturally represented using the formalism of matrices and vectors.
Linear Algebra
Linear algebra is central to both pure and applied mathematics. For instance, abstract algebra arises by relaxing the axioms of a vector space, leading to a number of generalizations. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics). Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear ones.
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Friday, July 25, 2014
Friday, June 27, 2014
Polynomial Curve Fitting
Polynomial Curve Fitting- is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points,possibly subject to constraints.
Gaussian Jordan Elimination
Gaussian Jordan Elimination is a method in solving a batch of set of Equations.
This is an example on how to solve a set of equations using GS-elimination
This is an example on how to solve a set of equations using GS-elimination
Friday, June 20, 2014
Gaussian Elimiation
Gaussian elimination is a process in mathematics that is introduced by Carl Friedrich Gauss. This algorithm can be used to get the value of the variables on a certain equation.
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