(Solved): Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matri ...

Determine whether or not the given matrix $\mathbf{A}$ is diagonalizable. If it is, find a diagonalizing matrix $\mathbf{P}$ and diagonal matrix $\mathbf{D}$ such that ${\mathbf{P}}^{?1}\mathbf{AP}=\mathbf{D}$. $?\begin{array}{lll}2& 3& 0\\ 0& 3& 0\\ 0& 0& 3\end{array}?$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is diagonalizable, $\{\mathbf{P},\mathbf{D}\}=\{?$ (Use a comma to separate matrices as needed.) B. The matrix is not diagonalizable.