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Orthogonal complement
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Mathematics
Fields of mathematics
Algebra
Linear algebra
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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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Linear algebra
Algebra
Fields of mathematics
Mathematics
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Orthogonal complement
by
Codex
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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
}
.
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