Alright, here is problem, and I'm not really sure whats going on. Ha.

Let A = {1... 10}, Define a relation R onAxAby (x,y)R(q,p) if ad=cb, show that R is an equivalence relation onAxA. Help would be much appreciated!

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- Mar 4th 2010, 12:03 PMintervadeset relations
Alright, here is problem, and I'm not really sure whats going on. Ha.

Let A = {1... 10}, Define a relation R on*A*x*A*by (x,y)R(q,p) if ad=cb, show that R is an equivalence relation on*A*x*A*. Help would be much appreciated! - Mar 4th 2010, 12:23 PMPlato
Please review and correct.

- Mar 4th 2010, 01:12 PMintervade
Sorry, what I get for doing more than one problem at a time...

Alright, here is problem, and I'm not really sure whats going on. Ha.

Let A = {1... 10}, Define a relation R on*A*x*A*by (x,y)R(q,p) if zp=qy, show that R is an equivalence relation on*A*x*A*. Help would be much appreciated! - Mar 4th 2010, 02:14 PMPlato
Well then is it true that $\displaystyle (a,b)\mathcal{R}(a,b),~\forall (a,b)\in A\times A?$

If $\displaystyle (a,b)\mathcal{R}(c,d) $ then is it true that $\displaystyle (c,d)\mathcal{R}(a,b)? $

If $\displaystyle (a,b)\mathcal{R}(c,d)~\&~ (c,d)\mathcal{R}(e,f) $ then is it true that $\displaystyle (a,b)\mathcal{R}(e,f)? $