General Direction: Answer the following items as instructed. 1. The following relations defined on Q. Determine whether it is reflexive, symmetric and transitive. If a property does not hold, say why. 1.1.x = 2y 1.2.xRy is x = ky for some k e Z* 1.3. xRy is x - y for some k e Z- 1.4.xRy is x – v for some ke Z*

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 42CR
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General Direction:
Answer the following items as instructed.
1. The following relations defined on Q. Determine whether it
is reflexive, symmetric and transitive. If a property does not
hold, say why.
1.1.x = 2y
1.2.xRy is x = ky for some ke Z*
1.3. xRy is x - y for some ke Z-
1.4.xRy is x - y for some k e Z*
Transcribed Image Text:General Direction: Answer the following items as instructed. 1. The following relations defined on Q. Determine whether it is reflexive, symmetric and transitive. If a property does not hold, say why. 1.1.x = 2y 1.2.xRy is x = ky for some ke Z* 1.3. xRy is x - y for some ke Z- 1.4.xRy is x - y for some k e Z*
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