8. Let a relation R be represented by the following matrix 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 10 1 0 MR =| 100 1 0 0 0 1 1 0 10 0 0 0 10 1 10 1 0 1 1 1 1 0 0 Determine whether R is (a) reflexive (b) irreflexive (c) symmetric (d) asymmetric (e) antisymmetric (f) transitive GIVE REASONS for your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. Let a relation R be represented by the following matrix
1 0 0 0 0 0 1
1 1 1 10 0 0
10 1 10 1 0
MR =| 1 0 0 1 0 0 0
1 10 100 0
0 10 1 10 1
0 1 1 1 1 0 0
Determine whether R is
(a) reflexive
(b) irreflexive
(c) symmetric
(d) asymmetric
(e) antisymmetric
(f) transitive
GIVE REASONS for your answer.
05:54 PM
2021-04-18 Page: 1 of 1
E I E E E 90% O
Words: 0
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View ''1·l'2:L:3•1•4• :5'1'6'1: 7:L·8'1 9 1 10. 1 11: 1'12. 1'13:' ' 14. I'15.I ·16' 1'17. I 18' I 19. 1 · 20. 1 21. I 22. 1 23. 1 24: 25. I 26 I:27 W 8. Let a relation R be represented by the following matrix 1 0 0 0 0 0 1 1 1 1 10 0 0 10 1 10 1 0 MR =| 1 0 0 1 0 0 0 1 10 100 0 0 10 1 10 1 0 1 1 1 1 0 0 Determine whether R is (a) reflexive (b) irreflexive (c) symmetric (d) asymmetric (e) antisymmetric (f) transitive GIVE REASONS for your answer. 05:54 PM 2021-04-18 Page: 1 of 1 E I E E E 90% O Words: 0
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