relation problems

**LAURA.GOODMAN** · October 13th 2009, 10:02 AM

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

**Plato** · October 13th 2009, 10:33 AM

Originally Posted by LAURA.GOODMAN

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?
$\begin{array}{ccccccc} {} & {|} & a & b & c & d & e \\ \hline a & {|} & 1 & 1 & 0 & 0 & 0 \\ b & {|} & 1 & 1 & 0 & 0 & 0 \\ c & {|} & 0 & 0 & 1 & 1 & 0 \\ d & {|} & 0 & 0 & 1 & 1 & 0 \\ e & {|} & 0 & 0 & 0 & 0 & 1 \\ \end{array}$

Or does it mean to square that matrix?

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