Let A = 0,1, 2,3 and define relations R, S, and T on A as follows: R = (0,0), (0,1), (0,3), (1,0…

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Let A = 0,1, 2,3 and define relations R, S, and T on A as follows: R = (0,0), (0,1), (0,3), (1,0), (1,1), (2,2), (3,0), (3,3), S = (0, 0), (0,2), (0,3), (2,3), T = (0,1), (2,3) Answer the questions below. Be sure to shortly explain your answers. a) Is R reflexive? symmetric? transitive? b) Is S reflexive? symmetric? transitive? c) Is T reflexive? symmetric? transitive?

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