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Consistent and inconsistent equations

In mathematics and particularly in algebra, a system of equations (either linear or nonlinear) is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity. In contrast, a linear or non linear…

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Criteria for consistency

If and only ifCoefficient matrixRankAugmented matrixColumn vector
5 related topics

Simple examples

Indeterminate system
1 related topics

Overview

MathematicsAlgebraSystem of equationsLinearNonlinear
9 related topics

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Simple examples

Criteria for consistency

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Consistent and inconsistent equations

Nodes19
Edges18
Triples0
Avg. degree1.89
Density0.105263
Components1

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Important terminology

system equation equations inconsistent first solutions linear unknowns nonlinear consistent seen one information values second exactly solution two third multiplying

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SubjectPredicateObjectConfidenceSrc

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