Set A 1 2 3 relation R 1 1 1 2 1 3 3 3 S 1 1 1 2 2 1 2 2 3 3 T 1 1 1 2 2 2 2 3 Find w...........

Mathematics (NDA) Set theory

Set A={1,2,3} ,relation

R ={(1,1),(1,2),(1,3),(3,3)},S={(1,1),(1,2),(2,1),(2,2),(3,3)}

T={(1,1),(1,2),(2,2),(2,3)}

Find which relation is –reflexive, symmetric?

S and T

R is not reflexive 2 ? A but (2,2 ) not belong to R

T is not reflexive since (3,3 )not belong to T

S is reflexive

R is not symmetric since (1,2 )?R but (2,1 ) not belong to R

S is symmetric

T is not symmetric

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