1. The problem asks to find the product of matrices $A$ and $B$, denoted as $AB$. 2. To multiply two matrices, the number of columns in matrix $A$ must equal the number of rows in matrix $B$. 3. The element in the $i^{th}$ row and $j^{th}$ column of the product matrix $AB$ is calculated by taking the dot product of the $i^{th}$ row of $A$ and the $j^{th}$ column of $B$. 4. Since the matrices $A$ and $B$ are not provided, please provide the matrices to proceed with the multiplication.