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    Solving a Multi Part Matrix

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    Question: Let A = {a, b, c}, and let R be the relation defied on A defined by the following matrix:

    MR = [ 1, 1, 1]
    [1, 1, 0]
    [0, 1, 1]

    (a) Describe R by listing the ordered pairs in R and draw the digraph of this relation.
    (b) Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then how the definition relates to this specific example.
    (c) Is this relation a partial order? Explain. If this relation a partial order, draw its Hasse diagram.

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    Solution Summary

    This solution is enclosed within an attached pdf file which details how to work with various mathematical properties including reflexive relations, antisymmetric relations and transitive properties.