1.4.29 Matrix transformations

Condition: Construct a Jordan basis, find the Jordan form and the minimal canceling polynomial of the matrix. \[ \left(\begin{array}{cccccc} -1 & 1 & 0 & 1 & 0 & 0 \\ 2 & -1 & 1 & 0 & 0 & 0 \\ 0 & -2 & -1 & -2 & 0 & 1 \\ -1 & 0 & -1 & -1 & 1 & -2 \\ 0 & -1 & 0 & -1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & -1 \end{array}\right) \]