(Solved): Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix \[ \lef ...

Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix \[ \left[\begin{array}{rrr} 0 & -15 & -5 \\ 1 & 8 & 1 \\ -1 & -3 & 4 \end{array}\right], \lambda=2,5 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \[ \text { For } P=\quad D=\left[\begin{array}{lll} 2 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{array}\right] \] B. \[ \text { For } P=\quad D=\left[\begin{array}{lll} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 5 \end{array}\right] \] c. The matrix cannot be diagonalized