Find the adjoint of the given matrix and verify in each case that \...

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Find the adjoint of the given matrix and verify in each case that \( A \cdot(\operatorname{adj} A)=(\operatorname{adj} A) \cdot A=|A| \cdot I \).
\( \mathrm{P} \)
\[
\left[\begin{array}{lll}
0 & 1 & 2 \\
1 & 2 & 3 \\
3 & 1 & 1
\end{array}\right]
\]
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