Let A ∈ Rm×n, B ∈ Rn×r, and let x, y ∈ Rn. Suppose that the product AxyTB is computed in the following ways:
(i) (A(xyT))B
(ii) (Ax)(yTB)
(iii) ((Ax)yT)B
(a) How many scalar additions and multiplications are necessary for each of these computations?