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Duals of a subspace and its quotient
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Mathematics
Area of mathematics
Algebra
Linear algebra
Dual space
Dual map
Created
2026-09-24
Updated
2026-09-24
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For
a
finite-dimensional
vector space
and
U
≤
V
, dualizing the
quotient
and
inclusion maps
gives
(
V
/
U
)
∗
≅
U
∘
,
U
∗
≅
V
∗
/
U
∘
.
(1)
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(7)
Dual map
Dual space
Linear algebra
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ib
/
Paper 1
/
8G
/
a
/
Solution
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