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2019 IMC
9
9
Part of
2019 IMC
Problems
(1)
AB-BA=B^2A
Source: IMC 2019 Day 2 P9
7/31/2019
Determine all positive integers
n
n
n
for which there exist
n
×
n
n\times n
n
×
n
real invertible matrices
A
A
A
and
B
B
B
that satisfy
A
B
−
B
A
=
B
2
A
AB-BA=B^2A
A
B
−
B
A
=
B
2
A
.Proposed by Karen Keryan, Yerevan State University & American University of Armenia, Yerevan
linear algebra
IMC
college contests