@article{BoCo12,
TITLE = {A binomial-like matrix equation},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {American Mathematical Monthly},
VOLUME = {119},
YEAR = {2012},
NUMBER = {7},
PAGES = {593--597},
DOI = {10.4169/amer.math.monthly.119.07.593},
URL = {http://dx.doi.org/10.4169/amer.math.monthly.119.07.593},
ABSTRACT = {We show that a pair of matrices satisfying a certain algebraic identity, reminiscent of the binomial theorem, must have the same characteristic polynomial. This is a generalization of Problem 4 (11th grade) from the Romanian National Mathematical Olympiad 2011.
}