Let
$P=\left[\begin{array}{lll}4 & -2 & 2 \\ 6 & -3 & 4 \\ 3 & -2 & 3\end{array}\right]$, and $Q=\left[\begin{array}{lll}3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5\end{array}\right]$
The eigenvalues of both $P$ and $Q$ are $1, 1$, and $2$. Which one of the following statements is TRUE?
- Both $P$ and $Q$ are diagonalizable
- $P$ is diagonalizable but $Q$ is NOT diagonalizable
- $P$ is NOT diagonalizable but $Q$ is diagonalizable
- Both $P$ and $Q$ are NOT diagonalizable
