@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.
}