Home/Algebra/Vector spaces/Nullity18. Vector spacesNullityLevel: intermedioIn 18. Vector spacesFormulaCopy LaTeXnullity(A)=dim(kerA)\operatorname{nullity}(A)=\dim(\ker A)nullity(A)=dim(kerA)Tagsalgebraspaces vectoralgebra formulalinearDetailNumber of degrees of freedom sent to the zero vector.Explore the ideaFound an error? Contact us.Related formulasRelatedKernelker(T)={v:T(v)=0}\ker(T)=\{v:T(v)=0\}ker(T)={v:T(v)=0}Open formulaOpen in sectionRelatedRank–nullity theoremn=rank(A)+nullity(A)n=\operatorname{rank}(A)+\operatorname{nullity}(A)n=rank(A)+nullity(A)Open formulaOpen in section