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No32 please use the diagrams on 26-28 to answer no32 metric? of the rela- 30. How can the directed graph of a relation R on

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No32 please use the diagrams on 26-28

image text in transcribed

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to answer no32

metric? of the rela- 30. How can the directed graph of a relation R on a finite set A be used to determine whether a relation is ireflex- ive? e relations e relations31. Determine whether the relations represented by the di- e relation tions rep- rected graphs shown in Exercises 23-25 are reflexive, ireflexive, symmetric, antisymmetric, and/or transitive. 32. Determine whether the relations represented by the di- rected graphs shown in Exercises 26- 28 are reflexive, ir- reflexive, symmetric, antisymmetric, asymmetric, and/or transitive 33. Let R be a relation on a set A. Explain how to use the di- rected graph representing R to obtain the directed graph representing the inverse relation R 34. Let R be a relation on a set A. Explain how to use the di- rected graph representing R to obtain the directed graph representing the complementary relation R 33. Let R be a relation on a set A rected graph representing R t representing the inverse relati 34. Let R be a relation on a set A. rected graph representing R to representing the complementa 35. Show that if MR is the matrix re then MA is the matrix represe 36. Given the directed graphs repre can the directed graph of the metric difference, difference, a 26. relations be found? Closures of Relations

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