b
$\prod\limits_{k = 1}^{36} {\left[ {\begin{array}{*{20}{c}}
1&{3k + \frac{1}{3}}\\
0&1
\end{array}} \right]} $
$ = \left[ {\begin{array}{*{20}{c}}
1&{3 + \frac{1}{3}}\\
0&1
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
1&{6 + \frac{1}{3}}\\
0&1
\end{array}} \right].......\left[ {\begin{array}{*{20}{c}}
1&{108 + \frac{1}{3}}\\
0&1
\end{array}} \right]$
$ \Rightarrow \left[ {\begin{array}{*{20}{c}}
1&{\left( {3 + 6 + 9 + .... + 108} \right) + 12}\\
0&1
\end{array}} \right]$
$ = \left[ {\begin{array}{*{20}{c}}
1&{2010}\\
0&1
\end{array}} \right]$