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Linear combination
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Mathematics
Fields of mathematics
Algebra
Linear algebra
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A
linear combination
is
a
mathematical expression constructed from
a
set
of elements, typically
vectors
or
functions
, where each element is multiplied by
a
coefficient
(
a
scalar
, which can be any real or
complex number
) and then summed together.
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Linear algebra
Algebra
Fields of mathematics
Mathematics
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Linear combination
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Created
2026-09-24
Updated
2026-10-03
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A
linear combination
of
vectors
v
1
,
…
,
v
n
is
a
sum
a
1
v
1
+
⋯
+
a
n
v
n
with
scalar
coefficients
a
i
.
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