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Let A = {1, 2, 3} and R = {(a,b): a,b in...

Let `A = {1, 2, 3}` and `R = {(a,b): ``a,b in A, a` divides b and b divides a}. Show that R is an identity relation on A.

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Given, A = {1, 2, 3}
`a in A, b in B`, a divides b and b divides a.
implies a = b
`therefore R={(a,a),ainA}={(1,1),(2,2),(3,3)}`
Hence, R is the identity relation on A.
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