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Relations \( R_{1}, R_{2}, R_{3} \) and \( R_{4} \) are defined on a set \( A=\{a, b, c\} \) as follows:
\[
\begin{array}{l}
R_{1}=\{(a, a),(a, b),(a, c),(b, b),(b, c),(c, a),(c, b),(c, c)\} \\
R_{2}=\{(a, a)\} \\
R_{3}=\{(b, c)\} \\
R_{4}=\{(a, b),(b, c),(c, a)\} .
\end{array}
\]
Find whether or not each of the relations \( R_{1}, R_{2}, R_{3}, R_{4} \) on \( A \) is transitive.
\( \mathrm{P} \)
W
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