A $2\times 2$ matrix $\textbf{P}$ has an eigen value $\lambda_{1}=2$  with eigenvector $x_{1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ and another eigenvalue $\lambda_{2}=5,$ with eigenvector $x_{2}=\begin{pmatrix} 1 \\ 1 \end{pmatrix}.$ The matrix $\textbf{P}$ is

1. $\begin{pmatrix} 2 & 0 \\ 0 & 5 \end{pmatrix}$
2. $\begin{pmatrix} 2 & 3 \\ 0 & 5 \end{pmatrix}$
3. $\begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}$
4. $\begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix}$