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 and perform row operations to transform \( A \) into the identity matrix. The steps are as follows:

### Step 1: Set up the augmented matrix
We start with the augmented matrix \( [A | I] \):
\[ \begin{pmatrix} 2 & 3 & | & 1 & 0 \\ 1 & 1 & | & 0 & 1 \end{pmatrix} \]

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