Characteristic Equation

Last updated Mar 20, 2022 Edit Source

• Math linear
• Math analysis

A scalar $\lambda$ is a matrix $A$’s eigenvalue iff the Determinant of $A - \lambda I$ is $0$.

The equation $det(A - \lambda I) = 0$ is called the characteristic equation

The polynomial $det(A - \lambda I)$ is called the characteristic polynomial