# Reflexive, Antisymmetric and Transitive Properties : Hasse Diagram and Boolean Matrix

Please see the attached file for the fully formatted problems.

Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff

m|n.

Write the definitions of the properties, reflexive, antisymmetric and transitive and the use

the definitions to determine whether each property holds for this relation.

(a) Is this relation a partial ordering relation? Why? If so, draw its Hasse

diagram.

(b)Write the (boolean, that is the yes/no) matrix of this relation.

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:55 pm ad1c9bdddfhttps://brainmass.com/math/boolean-algebra/reflexive-antisymmetric-transitive-properties-18540

#### Solution Summary

A relation is investigated as to whether it is reflexive, antisymmetric and transitive. A Hasse diagram and Boolean matrix are found. The solution is detailed and well presented.

$2.49