Consider the set A ={(1, 3), (2, 4), (-4,-8), (3, 9), (1, 5), (3, 6). Define the relation R on A as follows: for all (a, b), (c, d) EA, (a, b) R (c, d) ad bc. a) Draw the directed graph of R. b) Find the equivalence class of (2, 4). (c) Is R antisymmetric?
Consider the set A ={(1, 3), (2, 4), (-4,-8), (3, 9), (1, 5), (3, 6). Define the relation R on A as follows: for all (a, b), (c, d) EA, (a, b) R (c, d) ad bc. a) Draw the directed graph of R. b) Find the equivalence class of (2, 4). (c) Is R antisymmetric?
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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![Consider the set A = {(1, 3), (2, 4), (-4, -8), (3, 9), (1, 5), (3, 6).
Define the relation R on A as follows: for all (a, b), (c, d) EA,
(a, b) R (c, d) ad = bc.
a) Draw the directed graph of R.
b) Find the equivalence class of (2, 4).
(c) Is R antisymmetric?
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1c444b6-c214-474e-8784-347037f29ba7%2F2d609ad2-7482-4790-a2c2-85be07630521%2Fj09ywx8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the set A = {(1, 3), (2, 4), (-4, -8), (3, 9), (1, 5), (3, 6).
Define the relation R on A as follows: for all (a, b), (c, d) EA,
(a, b) R (c, d) ad = bc.
a) Draw the directed graph of R.
b) Find the equivalence class of (2, 4).
(c) Is R antisymmetric?
Answer:
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