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Unformatted text preview: M R = 1 1 1 1 1 1 ±ind R1 and R 2 M R1 = 1 1 1 1 1 1 , while M R = 1 1 1 1 1 1 1 1 1 3) Let R be the relation { ( a, b )  a n = b } on the set of integers. What is the reFexive closure of R ? Since we are simply adding in the set of all { ( a, a )  a ∈ Z } = { ( a, b )  a = b } , we get that the reFexive closure is the set of pairs of integers, or Z × Z . Bonus (1 pt): How many states does Wisconsin border? ±our: Michigan, Minnesota, Iowa, and Illinois. 1...
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This note was uploaded on 08/11/2008 for the course MATH 240 taught by Professor Miller during the Fall '08 term at University of Wisconsin.
 Fall '08
 Miller
 Math, Integers

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