Let M be a 33 magic square with magic number s. (a) Prove that the sum of
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(a) Prove that the sum of M's entries is 3s.
(b) Prove that s = 3 ∙ m2,2.
(c) Prove that m2,2 is the average of the entries in its row, its column, and in each diagonal.
(d) Prove that m2,2 is the median of M's entries.
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a The sum of the entries of M is the sum of the sums of the three rows b The constraints on ...View the full answer
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