If `A=(3 5 7 9)` is written as A = P + Q, where P is a symmetric matrix and Q is skew symmetric matrix, then write the matrix P.

Explanation

To find the symmetric matrix \( P \) from the matrix \( A = \begin{pmatrix} 3 & 5 \\ 7 & 9 \end{pmatrix} \), we will use the property that any matrix \( A \) can be expressed as the sum of a symmetric matrix \( P \) and a skew-symmetric matrix \( Q \). The symmetric part \( P \) can be calculated using the formula:

\[ P = \frac{1}{2}(A + A^T) \]

### Step-by-Step Solution:

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