If `A=[(2,-3),(4,6)] " verify that " (adj A)^(-1)=(adj A^(-1))`.

Explanation

To verify the relation \((\text{adj } A)^{-1} = \text{adj } (A^{-1})\) for the matrix \(A = \begin{pmatrix} 2 & -3 \\ 4 & 6 \end{pmatrix}\), we will follow these steps:

### Step 1: Calculate the Adjoint of Matrix \(A\)

The adjoint of a \(2 \times 2\) matrix \(A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\) is given by:

\[
\text{adj } A = \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}
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