Matrices P,Q and R are of orders 3×2,2×5 and 3×3 respectively.
(i) State the condition under which the product of two matrices is defined.
(ii) For each ordered pair (P,Q),(Q,P),(P,R),(R,P),(Q,R) and (R,Q), determine whether the product in the order written is defined. Give a brief justification in each case.
(iii) Wherever the product is defined in part (ii), write the order of the resulting matrix.