# characteristic equation

characteristic equation
noun
: an equation in which the characteristic polynomial of a matrix is set equal to 0

* * *

1. Math.
a. the characteristic polynomial of a given matrix, equated to zero.
b. 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.
2. Physics. See equation of state.
[1920-25]

Useful english dictionary. 2012.

### Look at other dictionaries:

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