Let
and
be
vector spaces
over a
field
. Then the following subsets are
linear subspaces
of .
- For a linear subspace
,
-
is a linear subspace of . If
and
are
finite-dimensional,
then
-
- For a linear subspace
,
-
is a linear subspace of , which is
isomorphic
to . If
and
are
finite-dimensional,
then
-
- For linear subspaces
and
,
-
is a linear subspace of . If
and
finite-dimensional,
then
-
- For linear subspaces
and
,
-
is a linear subspace of .