(See Steps) Let matrices A and a product AB be given as follows.
Question: Let matrices A and a product AB be given as follows.
\[A=\left[ \begin{matrix} 1 & 2 & 4 \\ 3 & 7 & 2 \\ 2 & 5 & 9 \\ \end{matrix} \right],\,\,\,\,\,AB=\left[ \begin{matrix} 4 & 2 & 7 \\ 5 & 4 & 3 \\ 2 & 3 & 6 \\ \end{matrix} \right]\,\,\,\]Find the matrix B.
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