You are not currently logged in.

Access JSTOR through your library or other institution:


Log in through your institution.

A Binomial-like Matrix Equation

Alin Bostan and Thierry Combot
The American Mathematical Monthly
Vol. 119, No. 7 (August‒September 2012), pp. 593-597
DOI: 10.4169/amer.math.monthly.119.07.593
Stable URL:
Page Count: 5
  • Download ($19.00)
  • Subscribe ($19.50)
  • Cite this Item
A Binomial-like Matrix Equation
Preview not available


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.

Page Thumbnails