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# Lecture 10

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Discrete Mathematics

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### Lecture 10

1. 1. Reflexive Relation – (12 - 2)
2. 2. Reflexive Relation – (12 – 2a)
3. 3. Example – (12 - 3)
4. 4. Example – (12 – 3a)
5. 5. Example – (12 – 3b)
6. 6. Directed Graph of a Reflexive Relation – (12 - 4)
7. 7. Directed Graph of a Reflexive Relation – (12 – 4a)
8. 8. Directed Graph of a Reflexive Relation – (12 - 5)
9. 9. Directed Graph of a Reflexive Relation – (12 – 5)
10. 10. Matrix Representation of a Reflexive Relation – (12 - 6)
11. 11. Example – (12 – 6a)
12. 12. Symmetric Relation – (12 - 7)
13. 13. Example – (12 - 8)
14. 14. Example – (12 – 8a)
15. 15. Directed Graph of a Symmetric Relation – (12 - 9)
16. 16. Example – (12 – 9a)
17. 17. Example – (12 – 9b)
18. 18. Example – (12 – 9c)
19. 19. Example – (12 – 9d)
20. 20. Matrix Representation of a Symmetric Relation – (12 - 11)
21. 21. Example – (12 – 11a)
22. 22. Example – (12 - 12)
23. 23. Example – (12 – 12a)
24. 24. Example – (12 - 13)
25. 25. Example – (12 – 13a)
26. 26. Directed Graph of a Transitive Relation – (12 - 14)
27. 27. Example – (12 - 3)
28. 28. Example – (12 – 14a)
29. 29. Example – (12 – 15a)
30. 30. Example – (12 – 15b)
31. 31. Exercise – (12 - 19)
32. 32. Exercise – (12 – 19a)
33. 33. Solution – (12 – 19b)
34. 34. Equivalence Relation – (12 - 32)
35. 35. Example – (12 – 32a)