Obtain the inverse of the matrix `A=[{:(2,3),(1,1):}]` using elementary operations.

Explanation

To find the inverse of the matrix \( A = \begin{pmatrix} 2 & 3 \\ 1 & 1 \end{pmatrix} \) using elementary operations, we will augment the matrix \( A \) with the identity matrix \( I \) and perform row operations to transform \( A \) into \( I \). The augmented matrix will look like this:

\[ \begin{pmatrix} 2 & 3 & | & 1 & 0 \\ 1 & 1 & | & 0 & 1 \end{pmatrix} \]

### Step 1: Make the leading coefficient of the first row equal to 1
To do this, we can divide the first row by 2:
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