Every square matrix $A$ can be uniquely decomposed as $A = S + K$ where $S$ is symmetric and $K$ is skew-symmetric, using $S = \frac{A + A^T}{2}$ and $K = \frac{A - A^T}{2}$. For the matrix $A = \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix}$, what is the symmetric part $S$?