Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.