anonymous
  • anonymous
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.
Discrete Math
chestercat
  • chestercat
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amistre64
  • amistre64
theres 36 of them pairs ..... just cross A with A
amistre64
  • amistre64
got no idea what a 0-1 matrix is tho
anonymous
  • anonymous
If I could get the ordered pairs I can do the matrix that is not hard. Binary basically

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amistre64
  • 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
anonymous
  • anonymous
Okay
amistre64
  • 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
zzr0ck3r
  • 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)......
anonymous
  • anonymous
Okay thanks makes a lot of since thank you as always.
zzr0ck3r
  • zzr0ck3r
np
zzr0ck3r
  • zzr0ck3r
I don't think there are 36...
anonymous
  • anonymous
so the pair sets would be up to 12,1 and so on right
amistre64
  • amistre64
6x6 = 36
amistre64
  • amistre64
12,12
zzr0ck3r
  • 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
amistre64
  • 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 :)
anonymous
  • anonymous
That is what I got too.
anonymous
  • anonymous
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?
zzr0ck3r
  • zzr0ck3r
I don't care:) give it to someone else
zzr0ck3r
  • zzr0ck3r
hint: @FutureMathProfessor loves metals
amistre64
  • amistre64
im saving up my medals to buy a cheeseburger at mcdonalds
anonymous
  • anonymous
LOLOL
zzr0ck3r
  • zzr0ck3r
medal*
anonymous
  • anonymous
I am saving mine for a Bigkids meal at BK
amistre64
  • amistre64
gas is too expensive for me to drive the 15 miles to get to BK :(
Zarkon
  • Zarkon
McDonald's is not food :)
amistre64
  • amistre64
lol, most of what i eat is not food so itll fit right in
Loser66
  • Loser66
@FutureMathProfessor shame on you!! medal lover!!

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