If a matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 2&4 \\ 1&3 \end{array}} \right]\]  and matrix \[{\text{B}} = \left[ {\begin{array}{*{20}{c}} 4&6 \\ 5&9 \end{array}} \right]\]  the transpose of product of these two matrices i.e., (AB)^T is

A. \[\left[ {\begin{array}{*{20}{c}} {28}&{19} \\ {34}&{47} \end{array}} \right]\]

B. \[\left[ {\begin{array}{*{20}{c}} {19}&{34} \\ {47}&{28} \end{array}} \right]\]

C. \[\left[ {\begin{array}{*{20}{c}} {48}&{33} \\ {28}&{19} \end{array}} \right]\]

D. \[\left[ {\begin{array}{*{20}{c}} {28}&{19} \\ {48}&{33} \end{array}} \right]\]

Answer: Option D