Varify A (adjA)=(adjA)A=|A| I `[{:(2,3),(-4,-6):}]`

Explanation

To verify the equation \( A \cdot (\text{adj} A) = (\text{adj} A) \cdot A = |A| I \) for the given matrix \( A = \begin{pmatrix} 2 & 3 \\ -4 & -6 \end{pmatrix} \), we will follow these steps:

### Step 1: Calculate the Determinant of Matrix A
The determinant of a 2x2 matrix \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by the formula:
\[ |A| = ad - bc \]
For our matrix \( A = \begin{pmatrix} 2 & 3 \\ -4 & -6 \end{pmatrix} \):
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