Algebraic Multiplicity (of an Eigenvalue) Natural & Formal Sciences Dictionary Definition The algebraic multiplicity of an eigenvalue λ of a linear operator on a finite-dimensional vector space is its multiplicity as a root of the characteristic polynomial det(A − λI).
Algebraic Multiplicity (of an Eigenvalue) Natural & Formal Sciences Dictionary Definition The algebraic multiplicity of an eigenvalue λ of a linear operator on a finite-dimensional vector space is its multiplicity as a root of the characteristic polynomial det(A − λI).