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Math Help - Equivalence Classes

  1. #1
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    Equivalence Classes

    How many equivalence classes does this have?

    {(x,y)|x^2 = y^2 mod 9}
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  2. #2
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    Quote Originally Posted by colombianita2089 View Post
    How many equivalence classes does this have?{(x,y)|x^2 = y^2 mod 9}
    Let's be clear on some points.
    Is this a relation on the integers?
    Are you saying that (-4,14) would belongs to the relation?
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  3. #3
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    its a relation on N {0,1,2.....}
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    Quote Originally Posted by colombianita2089 View Post
    its a relation on N {0,1,2.....}
    Well how many remainder classes modulo nine for k^2 are there?
    Last edited by Plato; October 26th 2009 at 03:25 PM.
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