Home/Algebra/Eigenvalues and diagonalization/Diagonalization20. Eigenvalues and diagonalizationDiagonalizationLevel: intermedioIn 20. Eigenvalues and diagonalizationFormulaCopy LaTeXA=PDP−1A=PDP^{-1}A=PDP−1Tagsalgebraeigenalgebra formulalinearvalues eigenDetailRepresents A in a basis of eigenvectors.Explore the ideaFound an error? Contact us.Related formulasRelatedEigenvalue equationAv=λv,v≠0Av=\lambda v,\quad v\ne0Av=λv,v=0Open formulaOpen in sectionRelatedPowers via diagonalizationAn=PDnP−1A^n=PD^nP^{-1}An=PDnP−1Open formulaOpen in section