2 3 4 1 4 3 2 3 4 1) 1 2 2. Let X = {1,2, 3, 4}. Consider the following elements of P(X): a = (; 2 3 4 (1 2 3 4 y = \1 3 4 2 a) How many elements are in the group P(X)? b) Calculate aß, ay, and ßy. c) Is P(X) commutative? Justify your answer. d) Give the matrices for Ta, Tg, and T, in terms of the standard basis vectors e,, e2, ez and e4 of R4.

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