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A linear map is a (1,1) tensor
Ciro Santilli
(
@cirosantilli,
37
)
Mathematics
Area of mathematics
Algebra
Linear algebra
Tensor
Updated
2025-07-16
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A
linear map
A
can be seen
as
a
(
1
,
1)
tensor
because:
T
(
w
,
v
∗
)
=
v
∗
A
w
(1)
is
a
number
,
v
∗
. is
a
dual vector
, and
W
is
a
vector
. Furthermoe,
T
is linear in both
v
∗
and
w
. All of this makes
T
fullfill the
definition
of
a
(
1
,
1
)
tensor
.
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Tensor
Linear algebra
Algebra
Area of mathematics
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