Let A = {1, 2, 3, 4, 5} then define a relation R on A as (a.b)∈R iff a≤b and Relation Ton A as (a,b)∈T iff a/b. Represent R by an matrix. Is R Reflexive? Transitive? Give a valid reason for your answer. Is T Antisymmetric? Give a valid reason for your answer. Represent T by an matrix Represent T by an arrow diagram.
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A={1,2,3,5,5}
RELATION shows in matrix form
Reflexive:all diagonal elements be 1
Transitivity: aRb and bRc then aRc
Matrix shows transitivity
Relation ton=
Matrix shows reflexive all diagonal elements be 1
Antisymmetric shows : i Relate to j then j not relate to y
A={1,2,3,5,5}
RELATION shows in matrix form
Reflexive:all diagonal elements be 1
Transitivity: aRb and bRc then aRc
Matrix shows transitivity
Relation ton=
Matrix shows reflexive all diagonal elements be 1
Antisymmetric shows : i Relate to j then j not relate to y