The final error matrices are defined by

Noting that
,
, and
are independent of
and
, differentiate (A.13) with respect to
and
to get

Thus, using (A.27), (A.26), and (A.20),

(Note that since
,
the form
can be written as
,
or
.)
So, to evaluate
, note that

and similarly for
. So, using (A.21), one gets
Also, using (A.23),

Finally, using (A.22),