Compute the inverse of the matix `A = [{:(0,1,2),(1,2,3),(0,1,2):}]`

Explanation

To compute the inverse of the matrix \( A = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 0 & 1 & 2 \end{pmatrix} \), we follow these steps:

### Step 1: Calculate the Determinant of Matrix A

To find the inverse of a matrix, we first need to calculate its determinant. The formula for the determinant of a 3x3 matrix \( A = \begin{pmatrix} a & b & c \\ d & e & f \\ g & h & i \end{pmatrix} \) is given by:

\[
\text{det}(A) = a(ei - fh) - b(di - fg) + c(dh - eg)
...