Do you require (a,b)*(a,b)=(a,b)?
What is (a,b)*(a,b)?
Hi, can anyone out there help with this?
If Z x Z = {(a,b): a,b are integers} and if the binary operation on Z x Z by (a,b)*(c,d) = (ad,-bc),bd
How do I show that the operation * has idempotent elements.
I would really appreciate a step by step explanation.
Many thanks in advance!