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1
IMC 2017 Problem 1
IMC 2017 Problem 1
Source:
August 2, 2017
linear algebra
matrix
IMC
imc 2017
Problem Statement
Determine all complex numbers
λ
\lambda
λ
for which there exists a positive integer
n
n
n
and a real
n
×
n
n\times n
n
×
n
matrix
A
A
A
such that
A
2
=
A
T
A^2=A^T
A
2
=
A
T
and
λ
\lambda
λ
is an eigenvalue of
A
A
A
.
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