My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 16th, 2014, 10:09 PM   #1
Newbie
 
Joined: Jan 2014

Posts: 16
Thanks: 0

Equivalence relation

Let Let . We say that if there is a non-zero real number with . Show that is an equivalence relation on What are the equivalence classes?

I am not sure how to do this particular problem. I know I must show reflexive, symmetry and transitivity but would reflexive work here? Also the second part confuses me as well. How can I prove this? Thank you!
tom33 is offline  
 
January 17th, 2014, 03:35 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,822
Thanks: 723

Re: Equivalence relation

Reflexive: v ~ ?v, when ? = 1. Symmetric: v ~ ?w then w ~ (1/?)v, since ? ? 0.
mathman is online now  
January 17th, 2014, 04:27 PM   #3
Member
 
Joined: Sep 2013

Posts: 32
Thanks: 0

Re: Equivalence relation

Thanks mathman!
odyssey is offline  
January 17th, 2014, 04:30 PM   #4
Newbie
 
Joined: Jan 2014

Posts: 16
Thanks: 0

Re: Equivalence relation

Thanks! I think I know what to do now with the equivalence relation. But how do I do the second part dealing with equivalence classes?
tom33 is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
equivalence, relation



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Equivalence Relation Taladhis Abstract Algebra 2 February 11th, 2013 08:20 AM
Equivalence Relation jrklx250s Real Analysis 3 December 7th, 2011 10:42 AM
Equivalence Relation page929 Abstract Algebra 1 October 11th, 2010 12:33 PM
Equivalence relation Dontlookback Abstract Algebra 1 April 20th, 2010 11:52 AM
equivalence relation tinynerdi Abstract Algebra 1 January 11th, 2010 09:24 AM





Copyright © 2019 My Math Forum. All rights reserved.