1. a) Prove that if the components of a tensor are zero in one special coordinate system, then its components are also zero in any coordinate system. b) Let T be a tensor of type (1, 3) defined by Ted = 2 U - DU+U - UUR a where a; and U is a symmetric tensor of type (1.2) i.e. U = U%- ari i) Show that Tbcd -Tode ii) Calculate Ted + Tob+=