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Composition of a relation- Madeeasy 2019

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Abhipsa asked Jan 23, 2019
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What is the number of relations S over set {0,1,2,3} such that (x,y) $\epsilon$ S $\Rightarrow x = y$ ? Thanks.
What is the number of relations S over set {0,1,2,3} such that (x,y) $\epsilon$ S $\Rightarrow x = y$ ? Thanks.
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dd asked Dec 14, 2016
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$R$ and $S$ are two relations on a set $A$ $\begin{align*} M_R = \begin{bmatrix} 1 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{bmatrix} \qquad M_S = \begin{bmatrix} 0 & 1 & 1 \\ 0 & 1 & 0 \\ 1 & 1 & 0 \\ \end{bmatrix} \end{align*}$ Then matrices for $R \cap S$ and $R \cup S$ ?
$R$ and $S$ are two relations on a set $A$$$\begin{align*} M_R = \begin{bmatrix} 1 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{bmatrix} \qquad M_S = \begin{bmatrix} 0 & 1 &...
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