Problem

(a) Show that the;th column of the matrix product AB is equal to the matrix product A bj,...

(a) Show that the;th column of the matrix product AB is equal to the matrix product A bj, where bj is the jth column of B. It follows that the product AB can be written in terms of columns as

AB = [Ab1 Ab2Abn].


(b) Show that the ith row of the matrix product AB is equal to the matrix product ai B, where ai is the ith row of A. It follows that the product AB can be written in terms of rows as

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