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.

RELATED CONTENT

What does 🙁- Slightly Frowning Face Emoji mean?Read more in this article about some frequently asked questions and fun facts related to our definitions.

What does 🙁- Slightly Frowning Face Emoji mean?Read more in this article about some frequently asked questions and fun facts related to our definitions.

Nearby words

character type, character witness, characterful, characteristic, characteristic curve, characteristic equation, characteristic function, characteristic polynomial, characteristic root, characteristic vector, characteristic velocity

Origin of characteristic equation

First recorded in 1920–25

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019