Question

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.

Answer 1

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

Answer 2

got no idea what a 0-1 matrix is tho

Answer 3

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

Answer 4

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

Answer 5

Okay

Answer 6

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

Answer 7

(1,1),(1,2),(1,3),(1,4),(1,6),(1,12),(2,2),(2,4),(2,6),(2,12),(3,3),(3,6)......

Answer 8

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

Answer 9

np

Answer 10

I don't think there are 36...

Answer 11

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

Answer 12

6x6 = 36

Answer 13

12,12

Answer 14

(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

Answer 15

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 :)

Answer 16

That is what I got too.

Answer 17

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?

Answer 18

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

Answer 19

hint: @FutureMathProfessor loves metals

Answer 20

im saving up my medals to buy a cheeseburger at mcdonalds

Answer 21

LOLOL

Answer 22

medal*

Answer 23

I am saving mine for a Bigkids meal at BK

Answer 24

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

Answer 25

McDonald's is not food :)

Answer 26

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

Answer 27

@FutureMathProfessor shame on you!! medal lover!!