Home/Algebra/Linear transformations/Matrix transformation19. Linear transformationsMatrix transformationLevel: intermedioIn 19. Linear transformationsFormulaCopy LaTeXT(x)=AxT(x)=AxT(x)=AxTagsalgebraalgebra formulalineartransformationstransformations linearDetailEvery matrix defines a linear transformation between compatible spaces.Explore the ideaFound an error? Contact us.Related formulasRelatedMatrix product(AB)ij=∑kaikbkj(AB)_{ij}=\sum_k a_{ik}b_{kj}(AB)ij=k∑aikbkjOpen formulaOpen in sectionRelatedEigenvalue equationAv=λv,v≠0Av=\lambda v,\quad v\ne0Av=λv,v=0Open formulaOpen in section