5#

Part of 2020 Candian MO

Problems(1)

Wierd problem in linear algebra

Source:

If A,B are invertible and the set {A^k - B^k | k is a natural number} is finite , then there exists a natural number m such that A^m = B^m.

algebrapolynomialinductionsuperior algebrasuperior algebra solvedfirst college math post