Home/Algebra/Matrices/Matrix product16. MatricesMatrix productLevel: intermedioIn 16. MatricesFormulaCopy LaTeX(AB)ij=∑kaikbkj(AB)_{ij}=\sum_k a_{ik}b_{kj}(AB)ij=k∑aikbkjTagsalgebraalgebra formulalinearmatricesDetailEach entry arises from a row–column dot product.Explore the ideaComputational complexityShow (CS mode)Found an error? Contact us.Related formulasRelatedMatrix transformationT(x)=AxT(x)=AxT(x)=AxOpen formulaOpen in sectionRelatedLU decompositionPA=LUPA=LUPA=LUOpen formulaOpen in section