Home/Algebra/Linear transformations/Linear composition19. Linear transformationsLinear compositionLevel: intermedioIn 19. Linear transformationsFormulaCopy LaTeX(S∘T)(x)=BAx(S\circ T)(x)=BAx(S∘T)(x)=BAxTagsalgebraalgebra formulalineartransformationstransformations linearDetailComposing transformations corresponds to multiplying matrices in the proper order.Explore the ideaFound an error? Contact us.Related formulasRelatedComposition(f∘g)(x)=f(g(x))(f\circ g)(x)=f(g(x))(f∘g)(x)=f(g(x))Open formulaOpen in sectionRelatedMatrix product(AB)ij=∑kaikbkj(AB)_{ij}=\sum_k a_{ik}b_{kj}(AB)ij=k∑aikbkjOpen formulaOpen in section