If `A=[{:(,1,3,3),(,1,4,3),(,1,3,4):}]` then verify that A adj 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 \( A^{-1} \) for the matrix \( A \).

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

### Step 1: Calculate the Determinant of \( A \)
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