suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric

suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric, Transitive check whether it’s antisymmetric or not.​

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