Diagonalization of a given matrix (2)

#linear_algebra

Let $A = [\begin{matrix} 6 & - 2 & - 1 \\ 10 & - 3 & - 2 \\ 0 & 0 & 1 \end{matrix}]$ .
(a) Find bases for the eigenspaces of $A$ .
(b) Determine if $A$ is diagonalizable. If so, give an invertible matrix $P$ and diagonal matrix $D$ such that $P^{- 1} A P = D$ . If not, explain why not.

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Let $A=\begin{bmatrix} 6 & -2 & -1 \\ 10 & -3 & -2 \\ 0 & 0 & 1\end{bmatrix}$.
\begin{enumerate}[label=\alph*)]
	\item Find bases for the eigenspaces of $A$.
	\item Determine if $A$ is diagonalizable. If so, give an invertible matrix $P$ and diagonal matrix $D$ such that $P^{-1}AP=D$. If not, explain why not.
\end{enumerate}