Given matrix $A=\begin{pmatrix} 1 & 1 & 0 & 0 \\ -1 & 3 & 0 & 0 \\ 5 & -2 & -1 & 1 \\ 0 & 0 & 0 & -1 \end{pmatrix}$.
a)Find Jordan matrix $J$ of A.
b)Find trace of $(A-2I_4)^{10}+(A+I_4)^7$
a)In standard way I found $J=\begin{pmatrix} -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 2 \end{pmatrix}$
But how to do b)?