(a) Let A = (aij ) be an n × m matrix representing a two-player zero-sum game, where the row player is Ann and the column player is Bill.
Let B = (bji) be a new m × n matrix in which the row player is Bill and the column player is Ann. What is the relation between the matrices A and B?
(b) Conduct a similar transformation of the names of the players in the following matrix and write down the new matrix.