Given Relation\\\\(R = \\{(1,1),(2,2), (3,3)\\}\\\\)Reflexive: If a relation has \\\\(\\{(a,b)\\}\\\\) as its element, then it should also have \\\\(\\{(a,a), (b,b)\\}\\\\) as its elements too.Symmetric: If a relation has \\\\((a,b)\\\\) as its element, then it should also have \\\\(\\{(b,a)\\}\\\\) as its element too.Transitive: If a relation has \\\\(\\{(a,b), (b,c)\\}\\\\) as its elements, then it should also have \\\\(\\{(a,c)\\}\\\\) as its element too.Now, the given relation satisfies all these three properties.Therefore, its an equivalence relation.