1.4.44 Matrix transformations

Condition: Find the Jordan form and Jordan basis of the matrix \( \quad A=\left(\begin{array}{ccc}0 & 1 & 0 \\ -4 & 4 & 0 \\ -2 & 1 & 2\end{array}\right), \quad \) whose eigenvalues are given: \( \lambda_{1,2,3}=2 \). Find the matrix \( e^{A} \).