For, a `3xx3` skew-symmetric matrix A, show that adj A is a symmetric matrix.

Explanation

To prove that the adjoint of a skew-symmetric matrix \( A \) of order \( 3 \times 3 \) is a symmetric matrix, we will follow these steps:

### Step 1: Define the skew-symmetric matrix \( A \)

A skew-symmetric matrix \( A \) has the property that \( A^T = -A \). For a \( 3 \times 3 \) skew-symmetric matrix, we can represent it as:

\[
A = \begin{pmatrix}
...