MathDB
Problems
Contests
Undergraduate contests
IMC
2017 IMC
1
1
Part of
2017 IMC
Problems
(1)
IMC 2017 Problem 1
Source:
8/2/2017
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
.
linear algebra
matrix
IMC
imc 2017