A relation \(R\) on
\[
A=\{1,2,3\}
\]
is defined as
\[
R=\{(1,1),(3,3),(1,2)\}.
\]
Is \(R\) a symmetric relation? Justify your answer.
Write the smallest relation set \(R_1\) such that
\[
R\cup R_1
\]
becomes an equivalence relation on the set
\[
\{1,2,3\}.
\]