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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- Oct 13th 2009, 10:02 AMLAURA.GOODMANrelation 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

- Oct 13th 2009, 10:33 AMPlato
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?