We consider the linear map
-
Let
be the subspace of
, defined by the linear equation
,
and let
be the restriction of
on
. On
, there are given vectors of the form
-
Compute the "change of basis" matrix between the bases
-
of
, and the transformation matrix of
with respect to these three bases
(and the standard basis of
![{\displaystyle {}K^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/767d110557a3a080d4e96d0982c5e44dfa591c8d)
).