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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Question

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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