Find the inverse of the matrix `[[3,-10,-1],[-2,8,2],[2,-4,-2]]`.

Explanation

To find the inverse of the matrix \( A = \begin{bmatrix} 3 & -10 & -1 \\ -2 & 8 & 2 \\ 2 & -4 & -2 \end{bmatrix} \), we will follow these steps:

### Step 1: Find the Determinant of the Matrix
The first step in finding the inverse of a matrix is to calculate its determinant. The determinant of a \( 3 \times 3 \) matrix can be calculated using the formula:

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