QuestionGiven a $2 \times 2$ matrix that has the eigenvalues 2 and -7 , and the eigenvectors $\left[\begin{array}{c}-1 \\ 3\end{array}\right]$ and $\left[\begin{array}{c}-9 \\ -8\end{array}\right]$ respectively, which of the following could represent $P$ and $D$ ? $P=\left[\begin{array}{cc}-1 & -9 \\ 3 & -8\end{array}\right]$ and $D=\left[\begin{array}{cc}2 & 0 \\ 0 & -7\end{array}\right]$ $P=\left[\begin{array}{cc}-1 & 3 \\ -9 & -8\end{array}\right]$ and $D=\left[\begin{array}{cc}2 & 0 \\ 0 & -7\end{array}\right]$ $P=\left[\begin{array}{cc}-1 & -9 \\ 3 & -8\end{array}\right]$ and $D=\left[\begin{array}{cc}-7 & 0 \\ 0 & 2\end{array}\right]$ $P=\left[\begin{array}{cc}-9 & -1 \\ -8 & 3\end{array}\right]$ and $D=\left[\begin{array}{cc}2 & 0 \\ 0 & -7\end{array}\right]$