Find modal matrix?

Question

I was solving a Question from Higher Engineering Mathematics by BS Grewal of finding the modal matrix. The Matrix A is given as $$ A= \begin{bmatrix}1&2&3\\0&3&1\\0&0&1\end{bmatrix} $$ I found eigen values as $\begin{bmatrix}1&1&3\end{bmatrix}$. And Corresponding Eigen Vectors are $\begin{bmatrix}1&0&0\end{bmatrix}$,$\begin{bmatrix}1&0&0\end{bmatrix}$,$\begin{bmatrix}1&1&0\end{bmatrix}$. As I have studied modal Matrix constitutes of eigen vectors but given answer is $$ P= \begin{bmatrix}0&1&1\\-3&0&1\\2&0&0\end{bmatrix} $$