Characteristic equation

What is Characteristic equation?

Characteristic equation definition and meaning on Dictionary terms:
noun

Mathematics.

  1. the characteristic polynomial of a given matrix, equated to zero.
  2. 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.