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Orthogonal complement
(
F
⊥
)
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Functional analysis
Hilbert space
Closest point theorem in a Hilbert space
Orthogonal decomposition by a closed subspace
2026-09-29
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The
orthogonal complement
of
a
subset
F
of an
inner-product space
is
F
⊥
=
{
x
:
⟨
x
,
y
⟩
=
0
for every
y
∈
F
}
.
(1)
Ancestors
(8)
Orthogonal decomposition by a closed subspace
Closest point theorem in a Hilbert space
Hilbert space
Functional analysis
Analysis
Area of mathematics
Mathematics
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Image-kernel orthogonality for an adjoint
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ib
/
Paper 4
/
1F
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 1
/
1I
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 3
/
21I
/
d
/
Solution
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Orthogonal complement
by
Wikipedia Bot
1
View more
In
linear algebra
, the **
orthogonal complement
** of
a
subspace \(
V
\) of
a
Euclidean space
(or more generally, an
inner product space
) is the
set
of all
vectors
that are orthogonal to every
vector
in \(
V \)
.
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