Which of the following are complete eigenvalues for the indicated matrix? What is the dimension of the associated eigenspace?
(a) $3,\left(\begin{array}{ll}2 & 1 \\ 1 & 2\end{array}\right)$;
(b) 2, $\left(\begin{array}{ll}2 & 1 \\ 0 & 2\end{array}\right)$;
(c) $1,\left(\begin{array}{rrr}0 & 0 & -1 \\ 1 & 1 & 0 \\ 1 & 0 & 0\end{array}\right)$
(d) $1,\left(\begin{array}{rrr}1 & 1 & -1 \\ 1 & 1 & 0 \\ 1 & 1 & 2\end{array}\right)$;
(e) $-1,\left(\begin{array}{rrr}-1 & -4 & -4 \\ 0 & -1 & 0 \\ 0 & 4 & 3\end{array}\right)$;
(f) $-\mathrm{i},\left(\begin{array}{rrr}-\mathrm{i} & 1 & 0 \\ -\mathrm{i} & 1 & -1 \\ 0 & 0 & -\mathrm{i}\end{array}\right) ;(\mathrm{g})-2,\left(\begin{array}{rrrr}1 & 0 & -1 & 1 \\ 0 & 1 & 0 & 1 \\ -1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1\end{array}\right) ;(h) 1,\left(\begin{array}{rrrrr}1 & -1 & -1 & -1 & -1 \\ 0 & 1 & -1 & -1 & -1 \\ 0 & 0 & 1 & -1 & -1 \\ 0 & 0 & 0 & 1 & -1 \\ 0 & 0 & 0 & 0 & 1\end{array}\right)$.