1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Antisymmetric and transitive using the matrix?

  1. Apr 22, 2012 #1
    antisymmetric and transitive using the matrix??

    I know about find reflexive and symmetric using the matrix

    For example, {1,2,3,4,5}

    1 0 0 0 0
    0 1 0 0 0
    0 0 1 0 0
    0 0 0 1 0
    0 0 0 0 1 (This is reflexive)

    1 0 0 0 0
    0 1 0 0 0
    0 0 0 0 0
    0 0 0 1 0
    0 0 0 0 1 (This is not reflexive cause 3 is not R 3)

    0 1 0 1 0
    1 0 0 0 0
    0 0 0 0 1
    1 0 0 0 0
    0 0 1 0 0 (This is symmetric)

    0 1 0 1 0
    0 0 1 0 1
    0 1 0 1 0
    1 0 1 0 0
    0 1 0 0 0 (This is not symmetric cause 1R2, but 2 is not R 1)

    I calculate the symmetric is start from the row 1, and then check each column in the row 1, after finished all the column in row 1, then i will move on to the row 2.

    And my question is how to check the antisymmetric and transitive using the matrix??
     
  2. jcsd
  3. Apr 22, 2012 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Re: antisymmetric and transitive using the matrix??

    Your questions are incomprehensible. You are using the words "reflexive", "transitive", etc., in seemingly unusual ways. It is not clear to me that your meaning of these words is the same as what I (and many others) would think. So, first, just explain what YOU mean by reflexive, transitive, etc. Then, once we understand what you want to do we will be better able to help.

    RGV
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook