hw13 - Exercise 39. Prove that Q = { (( a,b ) , ( c,d )) |...

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Intro to Abstract Math Homework 13 Fall 2009 Due October 5 Exercise 37. Let A,B,C,D be sets. Prove that [( A - C ) × B ] [ A × ( B - D )] ( A × B ) - ( C × D ) . Exercise 38. Let A = { a,b,c,d,e } and R = { ( a,a ) , ( a,e ) , ( b,b ) , ( b,c ) , ( b,d ) , ( c,b ) , ( c,c ) , ( c,d ) , ( d,b ) , ( d,c ) , ( d,d ) , ( e,a ) , ( e,e ) } . Is R an equivalence relation on A ? Be sure to prove your answer.
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Unformatted text preview: Exercise 39. Prove that Q = { (( a,b ) , ( c,d )) | ad-bc = 0 } is an equivalence relation on Z N , using only properties of integers (i.e. you may not introduce fractions)....
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This note was uploaded on 02/29/2012 for the course MATH 3326 taught by Professor Ryandaileda during the Fall '09 term at Trinity University.

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