$\text{ Let matrix }A=\left[\begin{array}{ll}a& b\\ c& d\end{array}\right]\text{ where }a,b,c,d\in \{1,2,3\}\text{ then which of the }$following is/are true?

$A=\left[\begin{array}{cc}a& b\\ c& d\end{array}\right]$

$\text{ total symmetry matrices }=3\times 3\times 3=27$

$\text{ For singular matrices }\left|\mathrm{A}\right|=0$

i.e ad – bc = 0

          ad = bc

          When ad = bc = 1 then no. of matrices = 1

          When ad = bc = 4 then no. of matrices = 1

          When ad = bc = 9 then no. of matrices = 1

          When ad = bc = 2 then no. of matrices = 4

          When ad = bc = 3 then no. of matrices = 4

          When ad = bc = 6 then no. of matrices = 4

          total number of singular matrices = 15