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Mathematics-Online course: Preparatory Course Mathematics - Linear Algebra and Geometry - Systems of Linear Equations

Elimination of Variables in Linear Systems of Equations

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A linear equation

$\displaystyle a_1x_1+a_2x_2+\dots=f $

with $ a_1\neq 0$ can be tranformed into

$\displaystyle x_1=(f-a_2x_2-\cdots)/a_1\,. $

By inserting such expressions into the remaining equations, linear systems can thus successively be reduced into systems in fewer variables.
(Authors: Höllig/Abele)

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  automatically generated 1/9/2017