By using elementary row operations, find the inverese of the martrix
`A=[{:(1,3,-2),(-3,0,-5),(2,5,0):}].`

Explanation

To find the inverse of the matrix \( A = \begin{pmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{pmatrix} \) using elementary row operations, we will augment the matrix \( A \) with the identity matrix \( I \) and perform row operations until the left side becomes the identity matrix.

### Step 1: Set up the augmented matrix
We start with the augmented matrix \( [A | I] \):

\[
\begin{pmatrix}
1 & 3 & -2 & | & 1 & 0 & 0 \\
...