a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i. Draw a directed graph of R. ii. Is R reflexive? Explain. iii. Is R symmetric? Explain. iv. Is R transitive? Explain.
a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i. Draw a directed graph of R. ii. Is R reflexive? Explain. iii. Is R symmetric? Explain. iv. Is R transitive? Explain.
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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a. Let A= {0,1,2,3} and define a relation R on A as follows:
R= {(0, 2), (0, 3), (2, 0), (2, 1)}.
i. Draw a directed graph of R.
ii. Is R reflexive? Explain.
iii. Is R symmetric? Explain.
iv. Is R transitive? Explain.
b. Given the functions f and r with plots shown below.
Determine whether f and r are injective, surjective, and bijective. Justify your answer.
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