Question: A Relation ~ is defined on ^2 - {(0,0)} by (x 1 ,x 2 )~(y 1 ,y 2 ) if and only if x 1

A Relation ~ is defined on ^2 - {(0,0)} by

(x1,x2)~(y1,y2) if and only if x1y2=y1x2

Prove that ~ is an equivalence relation

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