Let A = {1, 2, 3, 4, 5}. Define the following relations on A. R1 = {(1,1), (1,2), (2,1), (3,2), (3,5), (4,4), (5,3)} R2 = {(1,2), (1,5), (2,3), (3,2), (5,3)} R3 = {(1,2), (1,5), (2,4), (3,1), (3,5), (4,4), (5,1), (5,3)}

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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I am having difficulty understanding the Cartesian Rule for the type of sets R1 and R2 and the transactive of R3. This is a question on my practice paper.

(iii) R1 ° R2
(iv) Determine whether R3 is transitive.
Transcribed Image Text:(iii) R1 ° R2 (iv) Determine whether R3 is transitive.
Let A = {1, 2, 3, 4, 5}. Define the following relations on A.
R1 = {(1,1), (1,2), (2,1), (3,2), (3,5), (4,4), (5,3)}
R2 = {(1,2), (1,5), (2,3), (3,2), (5,3)}
R3 = {(1,2), (1,5), (2,4), (3,1), (3,5), (4,4), (5,1), (5,3)}
Transcribed Image Text:Let A = {1, 2, 3, 4, 5}. Define the following relations on A. R1 = {(1,1), (1,2), (2,1), (3,2), (3,5), (4,4), (5,3)} R2 = {(1,2), (1,5), (2,3), (3,2), (5,3)} R3 = {(1,2), (1,5), (2,4), (3,1), (3,5), (4,4), (5,1), (5,3)}
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