Find the inverse using elementary row transformations: `[3 10 2 7]`

Explanation

To find the inverse of the matrix \(\begin{bmatrix} 3 & 10 \\ 2 & 7 \end{bmatrix}\) using elementary row transformations, we will augment the matrix with the identity matrix and perform row operations until we obtain the identity matrix on the left side. The steps are as follows:

### Step 1: Set Up the Augmented Matrix
We start with the matrix \(A\) and augment it with the identity matrix:

\[
\left[\begin{array}{cc|cc}
3 & 10 & 1 & 0 \\
...