Find the inverse of each of the matrices given below :
`[(2,-3),(4,6)]`

Explanation

To find the inverse of the matrix \( A = \begin{pmatrix} 2 & -3 \\ 4 & 6 \end{pmatrix} \), we will follow these steps:

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