1.4.39 Matrix transformations

Condition: Find the Jordan form of the matrix. \[ A=\left[\begin{array}{ccccc} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 1 & -1 & -2 & 2 & 1 \end{array}\right] \]