Find the adjoint of the given matrix and verify in each case that `A.(adj A)=(adj A).A=|A\|.I.`
`[(2,3),(5,9)]`

Explanation

To find the adjoint of the given matrix and verify the equation \( A \cdot (\text{adj} A) = (\text{adj} A) \cdot A = |A| \cdot I \), we will follow these steps:

### Step 1: Define the Matrix
Let \( A = \begin{pmatrix} 2 & 3 \\ 5 & 9 \end{pmatrix} \).

### Step 2: Find the Determinant of Matrix A
The determinant of a 2x2 matrix \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by:
\[
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