Given the matrices \(A = \begin{bmatrix} 3 & 1 \end{bmatrix}\) and \(B = \begin{bmatrix} 2 \ 5 \end{bmatrix}\), find the product of the matrices \(A \times B\).

Step 1 ：The product of two matrices is calculated by taking the dot product of each row of the first matrix with each column of the second matrix.

Step 2 ：In this case, we only have one row in matrix \(A\) and one column in matrix \(B\), so the product is the dot product of these two vectors:

Step 3 ：\(A \times B = \begin{bmatrix} 3 & 1 \end{bmatrix} \times \begin{bmatrix} 2 \ 5 \end{bmatrix} = (3 \times 2) + (1 \times 5) = 6 + 5 = 11\)