Linear transformation $\varphi$ from space $\mathbf{R}_n$ in basis $\mathbf{e}_1\ldots\mathbf{e}_n$ is given by matrix:
$$A = \begin{pmatrix}3 & 2 & -3 \\ 4 &10 & -12 \\ 3 & 6 &-7\end{pmatrix}$$
I have to find basis $\mathbf{f}_1\ldots\mathbf{f}_n$ in which given matrix has Jordan form $A_j$ and find Jordan form itself.
Which steps should I reproduce to find both?