If `A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]]`,then verify that`A a d j A = |A|I`. Also find `A^(-1)`.

Explanation

To solve the problem, we need to verify that \( A \cdot \text{adj}(A) = |A| I \) and find the inverse of matrix \( A \).

Given:
\[ A = \begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4 \end{bmatrix} \]

### Step 1: Calculate the determinant of \( A \)
...