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Vinnie76

  • one year ago

Suppose we are given set A = {1, 2, 3, 4, 6, 12} and a relation, R, from A x A. The relation is defined as follows: R = {(a, b) | a divides b} where (a, b) are elements of A x A. a) List all the ordered pairs (a, b) that are elements of the relation. b) Use the results from part a to construct the corresponding zero-one matrix.

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  1. amistre64
    • one year ago
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    theres 36 of them pairs ..... just cross A with A

  2. amistre64
    • one year ago
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    got no idea what a 0-1 matrix is tho

  3. Vinnie76
    • one year ago
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    If I could get the ordered pairs I can do the matrix that is not hard. Binary basically

  4. amistre64
    • one year ago
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    spose you have 2 sets: P = p1,p2,p3 Q = q1,q2,q3,q4 PxQ are the ordered pairs (p,q) of all the possible p,q combinations

  5. Vinnie76
    • one year ago
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    Okay

  6. amistre64
    • one year ago
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    A = {1, 2, 3, 4, 6, 12} AxA 1, 2, 3, 4, 6, 12 1, 2, 3, 4, 6, 12 each row column creates an ordered pair

  7. zzr0ck3r
    • one year ago
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    (1,1),(1,2),(1,3),(1,4),(1,6),(1,12),(2,2),(2,4),(2,6),(2,12),(3,3),(3,6)......

  8. Vinnie76
    • one year ago
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    Okay thanks makes a lot of since thank you as always.

  9. zzr0ck3r
    • one year ago
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    np

  10. zzr0ck3r
    • one year ago
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    I don't think there are 36...

  11. Vinnie76
    • one year ago
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    so the pair sets would be up to 12,1 and so on right

  12. amistre64
    • one year ago
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    6x6 = 36

  13. amistre64
    • one year ago
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    12,12

  14. zzr0ck3r
    • one year ago
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    (1,1),(1,2),(1,3),(1,4),(1,6),(1,12),(2,2),(2,4),(2,6),(2,12),(3,3),(3,6),(3,12),(4,4),(4,12),(6,6),(6,12),(12,12) sorry your right, I just didn't see it

  15. amistre64
    • one year ago
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    i might have forgot to read all of it :) there are 36 ordered pairs of AxA, not all of them will be defined as elements of the Relation :)

  16. Vinnie76
    • one year ago
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    That is what I got too.

  17. Vinnie76
    • one year ago
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    So that was the easy part the matrix might be tricky but I will get it figured out unless someone can figure it out for me. zzrocker??? get the metal? Professor gets the metal?

  18. zzr0ck3r
    • one year ago
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    I don't care:) give it to someone else

  19. zzr0ck3r
    • one year ago
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    hint: @FutureMathProfessor loves metals

  20. amistre64
    • one year ago
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    im saving up my medals to buy a cheeseburger at mcdonalds

  21. FutureMathProfessor
    • one year ago
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    LOLOL

  22. zzr0ck3r
    • one year ago
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    medal*

  23. Vinnie76
    • one year ago
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    I am saving mine for a Bigkids meal at BK

  24. amistre64
    • one year ago
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    gas is too expensive for me to drive the 15 miles to get to BK :(

  25. Zarkon
    • one year ago
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    McDonald's is not food :)

  26. amistre64
    • one year ago
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    lol, most of what i eat is not food so itll fit right in

  27. Loser66
    • one year ago
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    @FutureMathProfessor shame on you!! medal lover!!

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