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Additional
linear functional
English Wikipedia - The Free Encyclopedia
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Linear form
In
linear algebra
, a
linear functional
or
linear form
(also called a
one-form
or
covector
) is a
linear map
from a
vector space
to its field of
scalar
s. In
R
n
, if
vectors
are represented as
column vectors
, then linear functionals are represented as
row vectors
, and their action on vectors is given by the
dot product
, or the
matrix product
with the
row vector
on the left and the
column vector
on the right. In general, if
V
is a
vector space
over a
field
k
, then a linear functional
f
is a function from
V
to
k
that is linear:
for all
for all
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