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Let R be the relation on the set A = {1,2,3,4,5} where aRb exactly when |a−b|...

Let R be the relation on the set A = {1,2,3,4,5} where aRb exactly when |a−b| = 1. Let S be the relation on the set A where aSb exactly when a = 1 or b = 4. 1. Find matrix representations and digraph representations for both R and S. 2. Find matrix representations for ¯ R and S^−1. 3. Find digraph representations for R∩S and R◦S.

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