linear algebra

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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

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

Mohammed made many important contributions to linear algebra and optimization.

In Memory of Mohammed Bellalij August 15, 1956-October 19, 2015

In that case, the study would demonstrate the potential of visualisation-tools in a linear algebra course in this particular context.

Development of the project: visualisations of transformations

[4] King-wah Eric Chu, Symmetric solutions of linear matrix equations by matrix decompositions, Linear Algebra Appl., 119(1989), 35-50.

The constrained solution of a general Sylvester matrix equation

Linear algebra gems: Assets for undergraduate mathematics.

Problem set 9

"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.

CULA OPTIMIZED FOR NVIDIA CUDA-ENABLED GPU

We suggest some short cuts to compute eigenvalues be incorporated into standard elementary linear algebra texts.

Short cuts to computing eigenvalues

A newly developed algorithm using linear algebra for the weighted min-max location problem was implemented and tested using Matlab 7.0.1 and Maple 9.0.

Implementation of a new algorithm for the min-max location problem

To help illustrate the ideas, a detailed outline for an introduction to the dot product in linear algebra is given.

On two types of learning (in mathematics) and implications for teaching

Improvements and updates include a series of structured student lessons in pre-calculus, calculus, and linear algebra; a simpler and more powerful user interface; and new capabilities in discrete transforms and scientific error analysis.

Maple 9