Home/Algebra/Linear transformations/Kernel19. Linear transformationsKernelLevel: intermedioIn 19. Linear transformationsFormulaCopy LaTeXker(T)={v:T(v)=0}\ker(T)=\{v:T(v)=0\}ker(T)={v:T(v)=0}Tagsalgebraalgebra formulalineartransformationstransformations linearDetailVectors that the transformation collapses to zero.Explore the ideaFound an error? Contact us.Related formulasRelatedNullitynullity(A)=dim(kerA)\operatorname{nullity}(A)=\dim(\ker A)nullity(A)=dim(kerA)Open formulaOpen in sectionRelatedImageIm(T)={T(v):v∈V}\operatorname{Im}(T)=\{T(v):v\in V\}Im(T)={T(v):v∈V}Open formulaOpen in section