Geometric Multiplicity (of an Eigenvalue) Natural & Formal Sciences Dictionary Definition For a linear operator or matrix and a given eigenvalue λ, the geometric multiplicity is the dimension of the eigenspace ker(A−λI), i.e., the number of linearly independent eigenvectors associated with λ.
Geometric Multiplicity (of an Eigenvalue) Natural & Formal Sciences Dictionary Definition For a linear operator or matrix and a given eigenvalue λ, the geometric multiplicity is the dimension of the eigenspace ker(A−λI), i.e., the number of linearly independent eigenvectors associated with λ.