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!
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!
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!
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)? $