# characteristic equation

noun

Mathematics.

the characteristic polynomial of a given matrix, equated to zero.

Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the coefficient and power of the variable in each term correspond to the coefficient and order of a derivative in the original equation.

Physics. equation of state.

## Origin of characteristic equation

^{1}

First recorded in 1920–25

## Words Nearby characteristic equation

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use characteristic equation in a sentence

In the next place apply the surface

*characteristic equation*to any point on a charged conductor at which the surface density is σ.

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