Let
$$
R \!=\! \left\{\! \! \begin{array} {c c c c} {{{1}}} & {{{0. 1}}} & {{{0. 2}}} & {{{0. 3}}} \\ {{{0. 1}}} & {{{1}}} & {{{0. 1}}} & {{{0. 2}}} \\ {{{0. 2}}} & {{{0. 1}}} & {{{1}}} & {{{0. 1}}} \\ {{{0. 3}}} & {{{0. 2}}} & {{{0. 1}}} & {{{1}}} \\ \end{array} \! \! \right\},
$$
what is the transitive closure $t(R)$?

Options:
A. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 1}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 1}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
B. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 1}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 1}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
C. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 1}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 1}}}} \\ {{{{0. 1}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
D. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 3}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 3}}}} \\ {{{{0. 3}}}} & {{{{0. 1}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
E. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 1}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 3}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
F. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} \\ {{{{0. 1}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
G. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 1}}}} \\ {{{{0. 1}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
H. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 1}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 3}}}} & {{{{0. 2}}}} \\ {{{{0. 1}}}} & {{{{0. 3}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
I. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 2}}}} \\ {{{{0. 3}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
J. $$
t ( R )=\left\{\begin{matrix} {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{0. 3}}}} \\ {{{{0. 3}}}} & {{{{1}}}} & {{{{0. 2}}}} & {{{{0. 2}}}} \\ {{{{0. 2}}}} & {{{{0. 2}}}} & {{{{1}}}} & {{{{0. 3}}}} \\ {{{{0. 3}}}} & {{{{0. 3}}}} & {{{{0. 1}}}} & {{{{1}}}} \\ \end{matrix} \right\}
$$
Answer: I