LINEAR ALGEBRA - HISTORY AND MAIN STRUCTURES

May 29th, 2015
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Linear algebra is a branch of mathematics that studies vectors. Working according to certain rules, it mainly uses families of vectors called vector spaces or linear spaces, along with functions that input one vector and output another.

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Linear algebrais a branch ofmathematicsthat studiesvectors. Working according to certain rules, it mainly uses families of vectors calledvector spacesorlinear spaces, along with functions that input one vector and output another. These functions are calledlinear maps(or linear transformations or linear operators) and are often represented bymatrices. Linear algebra is central to modern mathematics and its applications. An elementary application of linear algebra is to the solution of asystem of linear equationsin several unknowns. More advanced applications are ubiquitous, in areas as diverse asabstract algebraandfunctional analysis. Linear algebra has a concrete representation inanalytic geometryand is generalized inoperator theoryand inmodule theory. It has extensive applications inengineering,physics,natural sciencesand thesocial scie

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