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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- schrodinger

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- amistre64

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

- amistre64

got no idea what a 0-1 matrix is tho

- anonymous

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

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## More answers

- 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

Okay

- 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

(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

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

- zzr0ck3r

np

- zzr0ck3r

I don't think there are 36...

- anonymous

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

- amistre64

6x6 = 36

- amistre64

12,12

- 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

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

That is what I got too.

- 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

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

- zzr0ck3r

hint: @FutureMathProfessor loves metals

- amistre64

im saving up my medals to buy a cheeseburger at mcdonalds

- anonymous

LOLOL

- zzr0ck3r

medal*

- anonymous

I am saving mine for a Bigkids meal at BK

- amistre64

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

- Zarkon

McDonald's is not food :)

- amistre64

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

- Loser66

@FutureMathProfessor shame on you!! medal lover!!

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