linear algebra


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Related to linear algebra: matrix algebra

linear algebra

n.
1. The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations.
2. A mathematical ring and vector space with scalars from an associated field, the multiplication of which is of the form (aA) (bB) = (ab) (AB), where a and b are scalars and A and B are vectors.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.linear algebra - the part of algebra that deals with the theory of linear equations and linear transformation
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
algebra - the mathematics of generalized arithmetical operations
Translations
lineární algebra
lineara algebro
álgebra lineal
lineaaralgebra
lineaarialgebra
algèbre linéaire
אלגברה לינארית
linearna algebra
lineær algebra
linjär algebra
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References in periodicals archive ?
In that case, the study would demonstrate the potential of visualisation-tools in a linear algebra course in this particular context.
Linear algebra gems: Assets for undergraduate mathematics.
We began a partnership with NASA Ames Research Center to create GPU-accelerated linear algebra libraries in 2007," said Eric Kelmelis, CEO of EM Photonics.
These topics took center stage at the first joint GAMM-SIAM Conference on Applied Linear Algebra held at the University of Dusseldorf, Germany, on 24-27 July 2006.
Whether one needs to find the stable state of the populations of coyotes and road runners living in Arizona, or to predict the long term winning record of a baseball team under certain assumptions based on its past record, or even to classify a quadratic form axsup(2) + 2bxy + cysup(2) + dx + ey + f = 0 as a parabola, hyperbola, ellipse, or a circle (we use xsup(n) to denote x raised to the power n), as well as to solve a host of other problems ranging from physics and economics to differential equations and dynamical systems, one customarily use techniques from linear algebra that depend on computing the eigenvalues of some associated matrices [4], Chapter 9.
A newly developed algorithm using linear algebra for the weighted min-max location problem was implemented and tested using Matlab 7.
To help illustrate the ideas, a detailed outline for an introduction to the dot product in linear algebra is given.
More specifically, LAN are characterized as parallel computers in the context of linear algebra applications, proposing parallelization guidelines which are: specific for parallel computing on LAN, and simple enough to be applied to a wide range of problems.
Symbolic and numeric calculations, linear algebra, calculus, and a wide selection of two-and three-dimensional graphs are easily available.
Among the enhancements am faster speed for numerical linear algebra, wide-ranging support for fast spruce matrix operations, optimized numerical solvers for ordinary and partial differential equations and major new algorithms for solving equations and inequalities symbolically over complex numbers, reals and integers.
0 contains reusable linear algebra, Fast Fourier Transforms and vector math functions with a common applications programming interface and is designed primarily for mathematics-intensive applications such as facilitating the creation of financial modelling and geological survey analysis data.
Modeling efforts are supported by work in the development of mathematical algorithms and software in areas such as adaptive solution of PDEs, special functions, Monte Car lo methods, deconvolution, and numerical linear algebra.

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