invariance of eigenvalues

Suppose M is a n×n matrix. In the following propositionPlanetmathPlanetmathPlanetmath when we say that “two matrices have the same spectra” we mean that the eigenvaluesMathworldPlanetmathPlanetmathPlanetmathPlanetmath coincide including multiplicity.

  1. 1.

    If S is an invertible matrix, then M and S-1MS have the same spectra.

Title invariance of eigenvalues
Canonical name InvarianceOfEigenvalues
Date of creation 2013-03-22 15:17:29
Last modified on 2013-03-22 15:17:29
Owner matte (1858)
Last modified by matte (1858)
Numerical id 5
Author matte (1858)
Entry type Definition
Classification msc 15A18