A Binomial-like Matrix Equation
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 119 شماره
صفحات -
تاریخ انتشار 2012