ThmDex – An index of mathematical definitions, results, and conjectures.
Proof P3757 on R5531: Eigenvalue sequence exists for every complex square matrix
P3757
The function $z \mapsto \text{Det}(A - z I_N)$ is a complex polynomial of degree $N$, so this result is a particular case of R4112: Strong fundamental theorem of complex algebra. $\square$