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Teodor Topan
2019 Teodor Topan
4
Strange problem
Strange problem
Source:
December 16, 2019
linear algebra
matrix
transpose
Problem Statement
Calculate the minimum value of
tr
(
A
t
A
)
,
\text{tr} (A^tA) ,
tr
(
A
t
A
)
,
where
A
A
A
in the cases where is a matrix of pairwise distinct nonnegative integers and:a)
det
A
≡
1
(
m
o
d
2
)
\det A\equiv 1\pmod 2
det
A
≡
1
(
mod
2
)
b)
det
A
=
0
\det A=0
det
A
=
0
Vlad Mihaly
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