Solution
= Solution
If $\phi v=\mu v$ for a nonzero <eigenvector> $v$, then
$$
0=\phi^nv=\mu^nv.
$$
\b[Hence every <eigenvalue> satisfies $\mu=0$. Since a complex endomorphism has an eigenvalue, zero is the only possible eigenvalue.]
= Solution
If $\phi v=\mu v$ for a nonzero <eigenvector> $v$, then
$$
0=\phi^nv=\mu^nv.
$$
\b[Hence every <eigenvalue> satisfies $\mu=0$. Since a complex endomorphism has an eigenvalue, zero is the only possible eigenvalue.]