With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is related to b, how many tuples need to be added to the relation Rbelow in order to make it symmetric R={ (0,2), (0, 3), (0, 4), (1, 1), (1, 3), (2, 0), (2, 1), (2, 2), (3,0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2) } where A = {0, 1,2, 3, 4} Select one: O 3 O 4 O none of these options O 5 O 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is related to b, how many tuples would need to be added to the relation Rbelow in order to accomplish the transitive closure of R?
R={ (0,1), (0, 2), (0, 4), (1, 3), (2, 1), (2, 2), (3, 1), (3, 4), (4, 1) }
where A = {0, 1, 2, 3, 4}
Select one:
O none of these options
O 8
O 10
O 6
O 9
O 11
Transcribed Image Text:With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is related to b, how many tuples would need to be added to the relation Rbelow in order to accomplish the transitive closure of R? R={ (0,1), (0, 2), (0, 4), (1, 3), (2, 1), (2, 2), (3, 1), (3, 4), (4, 1) } where A = {0, 1, 2, 3, 4} Select one: O none of these options O 8 O 10 O 6 O 9 O 11
With a binary relation R(defined below) on A and each tuple (a, b) indicating that a is related to b, how many tuples need to be added to the relation R below in order to make it symmetric?
R={ (0,2), (0,3), (0, 4), (1, 1), (1, 3), (2, 0), (2, 1),
(2, 2), (3,0), (3, 1), (3,2), (3, 3), (3, 4), (4, 1), (4, 2) }
where A = {0, 1, 2, 3, 4}
Select one:
O 3
O 4
O none of these options
O 5
O 6
O 7
Transcribed Image Text:With a binary relation R(defined below) on A and each tuple (a, b) indicating that a is related to b, how many tuples need to be added to the relation R below in order to make it symmetric? R={ (0,2), (0,3), (0, 4), (1, 1), (1, 3), (2, 0), (2, 1), (2, 2), (3,0), (3, 1), (3,2), (3, 3), (3, 4), (4, 1), (4, 2) } where A = {0, 1, 2, 3, 4} Select one: O 3 O 4 O none of these options O 5 O 6 O 7
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