Consider two nxn matrices A and B whose entries i positive or zero. Suppose that all

Chapter 2, Problem 101

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Consider two nxn matrices A and B whose entries i positive or zero. Suppose that all entries of A are le than or equal to s, and all column sums of B are le than or equal to r (the j th column sum of a matrix is t sum of all the entries in its yth column). Show that i entries of the matrix AB are less than or equal to sr

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