Let B = {1,2, 3, 4, 5}. A binary relation S on the set B is given by the digraph (1 Find the symmetric closure of the relation S ? Select one: O a. ={(1.2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.4).(3.5).(4.2).(4.3).(4.4).(5.1).(5.2).(5,3)}. O b. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2,4).(2.5).(3.3).(3,4).(3,5).(4,2).(4.3).(4,4).(5,1).(5,2).(5,5).(1,4), (1.3),(2.3).(3.2).(3.1).(4,1).(5,4)}. Oc. ={(1,1)(1,2).(1,5).(2.2).(2.4).(2.5).(3.3).(3,4).(4.2).(4,4).(5.3).(5,5)}. O d. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3,4).(3,5).(4.2).(4,3).(4,4).(5,1).(5.2).(5.5).(1,4), (1,3).(2.3).(3,1).(4,5).(4,1).(5,4)}. O e. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3.4).(3.5).(4,2).(4,3).(4,4).(5.1).(5.2).(5,3).(5,5), (1,4).(1.3).(2.3).(3.2).(3.1),(4,5).(4.1).(5,4)}.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let B = {1,2, 3, 4, 5}. A binary relation S
on the set B is given by the digraph
(1
Find the symmetric closure of the relation S ?
Select one:
O a. ={(1.2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.4).(3.5).(4.2).(4.3).(4.4).(5.1).(5.2).(5,3)}.
O b. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2,4).(2.5).(3.3).(3,4).(3,5).(4,2).(4.3).(4,4).(5,1).(5,2).(5,5).(1,4),
(1.3),(2.3).(3.2).(3.1).(4,1).(5,4)}.
Oc. ={(1,1)(1,2).(1,5).(2.2).(2.4).(2.5).(3.3).(3,4).(4.2).(4,4).(5.3).(5,5)}.
O d. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3,4).(3,5).(4.2).(4,3).(4,4).(5,1).(5.2).(5.5).(1,4),
(1,3).(2.3).(3,1).(4,5).(4,1).(5,4)}.
O e. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3.4).(3.5).(4,2).(4,3).(4,4).(5.1).(5.2).(5,3).(5,5),
(1,4).(1.3).(2.3).(3.2).(3.1),(4,5).(4.1).(5,4)}.
Transcribed Image Text:Let B = {1,2, 3, 4, 5}. A binary relation S on the set B is given by the digraph (1 Find the symmetric closure of the relation S ? Select one: O a. ={(1.2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.4).(3.5).(4.2).(4.3).(4.4).(5.1).(5.2).(5,3)}. O b. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2,4).(2.5).(3.3).(3,4).(3,5).(4,2).(4.3).(4,4).(5,1).(5,2).(5,5).(1,4), (1.3),(2.3).(3.2).(3.1).(4,1).(5,4)}. Oc. ={(1,1)(1,2).(1,5).(2.2).(2.4).(2.5).(3.3).(3,4).(4.2).(4,4).(5.3).(5,5)}. O d. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3,4).(3,5).(4.2).(4,3).(4,4).(5,1).(5.2).(5.5).(1,4), (1,3).(2.3).(3,1).(4,5).(4,1).(5,4)}. O e. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3.4).(3.5).(4,2).(4,3).(4,4).(5.1).(5.2).(5,3).(5,5), (1,4).(1.3).(2.3).(3.2).(3.1),(4,5).(4.1).(5,4)}.
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