If `|A|=2` , where `A` is `2xx2` matrix, find `|a d j\ A|` .

Explanation

To find the determinant of the adjoint of a matrix \( A \) where \( |A| = 2 \) and \( A \) is a \( 2 \times 2 \) matrix, we can use the following properties of determinants and adjoint matrices.

### Step-by-Step Solution:

1. **Understanding the Adjoint**: The adjoint (or adjugate) of a matrix \( A \) is denoted as \( \text{adj}(A) \). For a \( 2 \times 2 \) matrix, the adjoint can be calculated using the formula:
\[ \text{adj}(A) = |A| \cdot A^{-1} \]
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