(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

On set PxP, define (m,n)[tex]\approx[/tex](p,q) if m*q=p*n

Show that [tex]\approx[/tex] is anequivalence relationon PxP andlist threeelements in equivalence class for (1,2)

2. Relevant equations

3. The attempt at a solution

I will appreciate any help how to start this problem. I now I have to show R, S and T properties, but I am confused from the notation above m*q=p*n

do I have to start with listing some pairs like

(0,0) (0,1) (1,0) (0,2) (1,1) (2,0) (0,3) (1,2) (2,1) (3,0) ....

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Equivalence Relations

**Physics Forums | Science Articles, Homework Help, Discussion**