Express the matrix `[{:(2 ,1),(3,4):}]` as the sum of a symmetric and a skew-symmetric matrix.

Explanation

To express the matrix \(\begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}\) as the sum of a symmetric and a skew-symmetric matrix, we can follow these steps:

### Step 1: Define the matrix
Let \( A = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix} \).

### Step 2: Calculate the transpose of the matrix
The transpose of \( A \), denoted as \( A^T \), is calculated as follows:
\[
...