1 let relation r 1 1 1 2 1 3 2 3 2 4 3 1 3 4 3 5 5346690

December 30, 2020/in Business Homework Help Online /by Joseph

1) Let relation R = { ( 1, 1 ), ( 1, 2 ), ( 1, 3 ), ( 2, 3 ), ( 2, 4 ), ( 3, 1 ), ( 3, 4 ), ( 3, 5 ), ( 4, 2 ), ( 4, 5 ), ( 5, 1 ), ( 5, 2 ), (5, 4 ) } on the set { 1, 2, 3, 4, 5 }. Find R², R³, R⁴, R⁵.

2) Determine the matrix representation and digraphs for the following relations on { 1, 2, 3 }.

a.	{ ( 1, 1 ), ( 1, 3 ), ( 2, 2 ), ( 3, 1 ), ( 3, 3 ) }
b.	{ ( 1, 2 ), ( 2, 2 ), ( 3, 2 ) }
c.	{ ( 1, 1 ), ( 1, 2 ), ( 1, 3 ), ( 2, 1 ), ( 2, 3 ), ( 3, 1 ), ( 3, 2 ), ( 3, 3 ) }

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