In order that a relation R defined on a non-empty set A is an equivalence relation, it is sufficient, if R

If relation R defined on set A is an equivalence relation, then R is

If R is an equivalence relation on a set A, then R^-1 is

Show that the relation R defined by (a, b) R(c,d)implies a+d=b+c in the set N is an equivalence relation.

Let M be the set of men and R is a relation is son of defined on M.Then,R is ( a) an equivalence relation (b) a symmetric relation (c) a transitive relation (d) None of these

Prove that on the set of integers. Z, the relation R defined as aRb hArr a = +-b is an equivalence relation .

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Is R an equivalance relation

Let S be a set of all square matrices of order 2 . If a relation R defined on set S such that ARB=>AB=BA , then relation R is (A,BepsilonS)

R_1 and R_2 are two equivalence relation defined on set A(ne phi) . Show that R_1capR_2 is an equivalence relation.

Prove that the relation R defined on the set V of all vectors by vecaRvecbif veca=vecb, is an equivalence relation on V.