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3 cards from this section. Quick, good the night before a test.
Define a symmetric relation.
Think of how pairs relate to each other.
Is an empty relation symmetric?
Consider the lack of pairs in the relation.
What defines a symmetric relation?
Recall the condition for symmetry.
True or False: An empty relation is symmetric.
Think about lack of any relationship.
Given the relation R = {(1, 2), (2, 3), (1, 3)}, determine if it is symmetric, and if not, why.
Look for missing reciprocal pairs.
Create a symmetric relation with at least four pairs. Write out its matrix.
Ensure pairs maintain the symmetry condition while forming the matrix.
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