Linear mapping/Matrix and basis/Rank/Fact
Let denote a field, and let and denote -vector spaces of dimensions and . Let
be a linear mapping which is described by the matrix , with respect to bases of the spaces.
Then
Let denote a
field,
and let
and
denote
-vector spaces
of dimensions
and
.
Let
be a
linear mapping
which is described by the
matrix
,
with respect to
bases
of the spaces.