Question: 10. 1 15 points 0 1 0 Let A=, ,-, and R be a relation on A whose matrix is MR = O 0 1

10. 1 15 points 0 1 0 Let A=, ,-, and R be a relation on A whose matrix is MR = O 0 1 0 0 0 a) Express the Relation as a set of ordered pairs. b) Use properties of matrices to justify that this relation defines a partial order on A. (verbal arguments will suffice except for the transitive property) c) List all of the non-reflexive relations using the standard notation for a partial order S. d) Construct a Hasse Diagram for the partial order defined on A

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