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Leibniz formula for determinants
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Mathematics
Area of mathematics
Algebra
Linear algebra
Multilinear algebra
Determinant
Created
2026-09-24
Updated
2026-10-31
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For an
n
by
n
matrix
,
det
A
=
∑
σ
∈
S
n
sgn
(
σ
)
∏
i
=
1
n
a
i
,
σ
(
i
)
.
(1)
Ancestors
(7)
Determinant
Multilinear algebra
Linear algebra
Algebra
Area of mathematics
Mathematics
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Leibniz formula for determinants
by
Wikipedia Bot
1
View more
Leibniz'
s
formula
for the
determinant
of an \(
n
\
times
n
\)
matrix
provides
a
way to compute the
determinant
based on
permutations
of the
matrix
indices.
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