Discrete Mathematics

1. Reflexive Relation – (12 - 2)

2. Reflexive Relation – (12 – 2a)

3. Example – (12 - 3)

4. Example – (12 – 3a)

5. Example – (12 – 3b)

6. Directed Graph of a Reflexive Relation – (12 - 4)

7. Directed Graph of a Reflexive Relation – (12 – 4a)

8. Directed Graph of a Reflexive Relation – (12 - 5)

9. Directed Graph of a Reflexive Relation – (12 – 5)

10. Matrix Representation of a Reflexive Relation – (12 - 6)

11. Example – (12 – 6a)

12. Symmetric Relation – (12 - 7)

13. Example – (12 - 8)

14. Example – (12 – 8a)

15. Directed Graph of a Symmetric Relation – (12 - 9)

16. Example – (12 – 9a)

17. Example – (12 – 9b)

18. Example – (12 – 9c)

19. Example – (12 – 9d)

20. Matrix Representation of a Symmetric Relation – (12 - 11)

21. Example – (12 – 11a)

22. Example – (12 - 12)

23. Example – (12 – 12a)

24. Example – (12 - 13)

25. Example – (12 – 13a)

26. Directed Graph of a Transitive Relation – (12 - 14)

27. Example – (12 - 3)

28. Example – (12 – 14a)

29. Example – (12 – 15a)

30. Example – (12 – 15b)

31. Exercise – (12 - 19)

32. Exercise – (12 – 19a)

33. Solution – (12 – 19b)

34. Equivalence Relation – (12 - 32)

35. Example – (12 – 32a)