## Vinnie76 2 years 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

theres 36 of them pairs ..... just cross A with A

2. amistre64

got no idea what a 0-1 matrix is tho

3. Vinnie76

If I could get the ordered pairs I can do the matrix that is not hard. Binary basically

4. amistre64

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

Okay

6. amistre64

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

(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

Okay thanks makes a lot of since thank you as always.

9. zzr0ck3r

np

10. zzr0ck3r

I don't think there are 36...

11. Vinnie76

so the pair sets would be up to 12,1 and so on right

12. amistre64

6x6 = 36

13. amistre64

12,12

14. zzr0ck3r

(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

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

That is what I got too.

17. Vinnie76

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

I don't care:) give it to someone else

19. zzr0ck3r

hint: @FutureMathProfessor loves metals

20. amistre64

im saving up my medals to buy a cheeseburger at mcdonalds

21. FutureMathProfessor

LOLOL

22. zzr0ck3r

medal*

23. Vinnie76

I am saving mine for a Bigkids meal at BK

24. amistre64

gas is too expensive for me to drive the 15 miles to get to BK :(

25. Zarkon

McDonald's is not food :)

26. amistre64

lol, most of what i eat is not food so itll fit right in

27. Loser66

@FutureMathProfessor shame on you!! medal lover!!