Home/Algebra/Eigenvalues and diagonalization/Eigenspace20. Eigenvalues and diagonalizationEigenspaceLevel: intermedioIn 20. Eigenvalues and diagonalizationFormulaCopy LaTeXEλ=ker(A−λI)E_\lambda=\ker(A-\lambda I)Eλ=ker(A−λI)Tagsalgebraeigenalgebra formulalinearvalues eigenDetailSubspace of eigenvectors associated with lambda, together with zero.Explore the ideaFound an error? Contact us.Related formulasRelatedEigenvalue equationAv=λv,v≠0Av=\lambda v,\quad v\ne0Av=λv,v=0Open formulaOpen in sectionRelatedKernelker(T)={v:T(v)=0}\ker(T)=\{v:T(v)=0\}ker(T)={v:T(v)=0}Open formulaOpen in section