A finite set of linear equations is called a system of linear equations or a linear system. A system of linear equations has the variables x1, x2, x3,...xn and a sequence of numbers s1, s2,...sn is called a solution of the system if x1 = s1, x2 = s2,...xn = sn is a solution of every equation in the system.
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www.bookrags.com/research/linear-equations-wom/
www.bookrags.com/research/linear-equations-wom/
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Linear equation - Wikipedia, the free encyclopedia
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A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can have one or more vari...
en.wikipedia.org/wiki/Linear_equation
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System of linear equations - Wikipedia, the free encyclopedia
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In mathematics, a system of linear equations (or linear system ) is a collection of linear equations involving the same set of variables. For example, 3x &&\; + \;&& 2y &&\; - \;&& z &&\; = \;&& 1...
en.wikipedia.org/wiki/System_of_linear_equations
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Number problems such as that of the Pythagorean triples (a,b,c) with a2+b2 = c2 were studied from at least 1700 BC. Systems of linear equations were studied in the context of solving number problems. Quadratic equations were ... We view the history of mathematics from our own position of understanding and sophistication.
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www.gap-system.org/~history/HistTopics/History_overview...
www.gap-system.org/~history/HistTopics/History_overview.html
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The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. ... S. Athloen and R. McLaughlin, Gauss-Jordan reduction: A brief history,
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darkwing.uoregon.edu/~vitulli/441.sp04/LinAlgHistory.ht...
darkwing.uoregon.edu/~vitulli/441.sp04/LinAlgHistory.html
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A History of Algorithms; From the Pebble to the Microchip; Edited by Jean-Luc Chabert; Translated by Chris Weeks ... The chapter on solving systems of linear equations (Chapter 9) is somewhat difficult because so much of the important work in the subject was done before matrix notation was invented.
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www.maa.org/reviews/histalgo.html
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Geometry; History of Mathematics; Industrial Mathematics; Linear and Matrix Algebra; Linear & Nonlinear Programming; Logic & Set Theory; Mathematics Education; Mathematical Biology; Miscellaneous; Multivariable Calculus; Nonlinear Dynamics; Number Theory; Numerical Analysis; Ordinary Differential Equations; Partial...
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archives.math.utk.edu/topics/
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Number problems like the Pythagorean triples (discovered by Pythagoras and the Pythagoreans, his students) were studied from 1700 BC. Linear equations were studied to solve problems, as well as quadratic equations.
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library.thinkquest.org/4116/History/history.htm
library.thinkquest.org/4116/History/history.htm
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It is not surprising that the beginnings of matrices and determinants should arise through the study of systems of linear equations. The Babylonians studied problems which lead to simultaneous linear equations and some of these are preserved in clay tablets which survive. ... History Topics Index;
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www-history.mcs.st-andrews.ac.uk/history/HistTopics/Mat...
www-history.mcs.st-andrews.ac.uk/history/HistTopics/Matrices_and_determinants.html
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