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South Korea USCM
2017 Korea USCM
1
1
Part of
2017 Korea USCM
Problems
(1)
sum of determinants
Source: 2017 South Korea USCM P1
8/15/2020
n
(
≥
2
)
n(\geq 2)
n
(
≥
2
)
is a given integer and
T
T
T
is set of all
n
×
n
n\times n
n
×
n
matrices whose entries are elements of the set
S
=
{
1
,
⋯
,
2017
}
S=\{1,\cdots,2017\}
S
=
{
1
,
⋯
,
2017
}
. Evaluate the following value.
∑
A
∈
T
det
(
A
)
\sum_{A\in T} \text{det}(A)
A
∈
T
∑
det
(
A
)
linear algebra
matrix
Determinants
Summation
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