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Thread: relation problems

  1. #1
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    relation problems

    Suppose R is an equivalence relation on X={a,b,c,d,e} which produces the partition S={ (a,b), (c,d), (e) }. Find the matrix of R. Find the matrix of R^2
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    Quote Originally Posted by LAURA.GOODMAN View Post
    Suppose R is an equivalence relation on X={a,b,c,d,e} which produces the partition S={ (a,b), (c,d), (e) }. Find the matrix of R. Find the matrix of R^2
    Is this what that means?
    $\displaystyle \begin{array}{ccccccc}
    {} & {|} & a & b & c & d & e \\
    \hline
    a & {|} & 1 & 1 & 0 & 0 & 0 \\
    b & {|} & 1 & 1 & 0 & 0 & 0 \\
    c & {|} & 0 & 0 & 1 & 1 & 0 \\
    d & {|} & 0 & 0 & 1 & 1 & 0 \\
    e & {|} & 0 & 0 & 0 & 0 & 1 \\ \end{array} $

    Or does it mean to square that matrix?
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