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Math Help - The cross product and multiple sets?

  1. #1
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    The cross product and multiple sets?

    Hi all,

    Just a quick question...

    I have a question in my Computer Science homework that goes as follows:

    (S x S) x S where S= {3,4}

    Now does that mean that I end up, after doing the first product, doing it normally across each of the four sets to make a total of 16 ordered pairs?

    Or do I have it so that I have several sets of three elements each?

    Thanks so much!!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by srstakey View Post
    Hi all,

    Just a quick question...

    I have a question in my Computer Science homework that goes as follows:

    (S x S) x S where S= {3,4}

    Now does that mean that I end up, after doing the first product, doing it normally across each of the four sets to make a total of 16 ordered pairs?

    Or do I have it so that I have several sets of three elements each?

    Thanks so much!!!
    S x S = 0,

    so

    ( S x S ) x S = 0 x S = 0


    RonL
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  3. #3
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    Quote Originally Posted by srstakey View Post
    I have a question in my Computer Science homework that goes as follows: (S x S) x S where S= {3,4}
    I think that “cross product” here refers to Cartesian Cross Products of sets.
    If that is correct, then (SxS)xS would be a set of eight triples.
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  4. #4
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    Quote Originally Posted by Plato View Post
    I think that “cross product” here refers to Cartesian Cross Products of sets.
    If that is correct, then (SxS)xS would be a set of eight triples.
    Yes-thank you Plato!

    (I never thought I would be thanking Plato himself )
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