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An Optimized Solution of the Basic Solution System of Linear Equations

Haoran Fu, Huahui Li

2020Network Computing and Applications26 citationsDOI

Abstract

This article presents an method of making out the optimized solution to the basic system of linear equations.In the process, it only needs to use the properties of simple elementary row transformation and number multiplication vector to directly obtain the basic solution system of the homogeneous linear equation system, and also directly obtain the special solution of the non-homogeneous linear equation system and the corresponding basic solution system of the derived system.

Topics & Concepts

Linear systemSystem of linear equationsHomogeneousLinear equationTransformation (genetics)MathematicsHomogeneous differential equationSimple (philosophy)Multiplication (music)Applied mathematicsComputer scienceBasic solutionMathematical analysisDifferential equationPhysicsPhilosophyCombinatoricsOrdinary differential equationElectrochemistryEpistemologyGeneQuantum mechanicsChemistryDifferential algebraic equationElectrodeBiochemistryAdvanced Algorithms and ApplicationsSimulation and Modeling ApplicationsEducational Technology and Assessment