A Binomial-like Matrix Equation

@article{Bostan2012ABM,
  title={A Binomial-like Matrix Equation},
  author={A. Bostan and Thierry Combot},
  journal={The American Mathematical Monthly},
  year={2012},
  volume={119},
  pages={593 - 597}
}
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. 
3 Citations
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