If A and B are n × n matrices, with entries aij and bij for 1 ≤ i ≤ n, 1 ≤ j ≤ n, then AB...

If A and B are n × n matrices, with entries aij and bij for 1 ≤ i ≤ n, 1 ≤ j ≤ n, then AB is the n ≤ n; matrix with entries  Show that n3 multiplications of integers are used to find AB directly from its definition.