Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix.\\
$\begin{bmatrix} 3 & 2 & 2\\ 2 & 3 & 2\\ 2 & 2 & 3 \end{bmatrix}$; $\lambda = 1, 7$\\
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\\
A. For P = $\Box$, D = $\begin{bmatrix} 1 & 0 & 0\\ 0 & 7 & 0\\ 0 & 0 & 7 \end{bmatrix}$.\\B. For P = $\Box$, D = $\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 7 \end{bmatrix}$.\\C. The matrix cannot be diagonalized.
