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2022 IMC
2
2
Part of
2022 IMC
Problems
(1)
A good test on how well do you know matrix theory
Source: IMC 2022 Day 1 Problem 2
8/5/2022
For a positive integer
n
n
n
determine all
n
×
n
n\times n
n
×
n
real matrices
A
A
A
which have only real eigenvalues and such that there exists an integer
k
≥
n
k\geq n
k
≥
n
with
A
+
A
k
=
A
T
A + A^k = A^T
A
+
A
k
=
A
T
.
linear algebra
matrix
IMC 2022