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3 cards from this section. Quick, good the night before a test.
What defines an antisymmetric relation?
Think about the conditions for having both pairs.
True or False: All diagonal entries in an antisymmetric relation matrix must be 0.
Consider what self-relating pairs would mean in terms of antisymmetry.
What condition defines an antisymmetric relation?
Think about the implications of having both pairs.
True or False: An empty relation can be classified as antisymmetric.
Consider what absence of pairs implies for the properties.
Given the relation R = {(1, 1), (2, 2), (1, 2)}, determine if R is antisymmetric and explain your reasoning.
Look for pairs that contradict antisymmetry.
Create an antisymmetric relation involving the numbers 1 to 4. Provide its matrix and justify your pairs.
Remember to ensure no pairs conflict with the conditions set by antisymmetry.
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