Let A = [a] and B = [bij] be two diagonal nx n matrices. Then the ijth entry of the product AB is Cij = 0 k = 1 If the ith row of A has all zero entries, evaluate the entries aik for all k = 1, 2, ..., n. aik = Evaluate the entries cj for all j = 1, 2,..., n. Cij = Thus, if the ith row of A has all zero entries, then the ith row of AB has all zero entries. Give an example using 2 x 2 matrices to show that the converse is not true. 0 0 18 10 B = 3 B = T

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