Find the inverse of `A=[[1,2,5],[1,-1,-1],[2,3,-1]]`

Explanation

To find the inverse of the matrix \( A = \begin{bmatrix} 1 & 2 & 5 \\ 1 & -1 & -1 \\ 2 & 3 & -1 \end{bmatrix} \), we will follow these steps:

### Step 1: Calculate the Determinant of A

The determinant of a 3x3 matrix \( A = \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix} \) is given by the formula:

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