Find the inverse the matrix (if it exists)given in`[(-1, 5),(-3, 2)]`

Explanation

To find the inverse of the matrix \( A = \begin{pmatrix} -1 & 5 \\ -3 & 2 \end{pmatrix} \), we will follow these steps:

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