Jacobian

Here we will calculate the log of the Jacobian .

First, we obtain the expression of =.

foo23 =

foo24 =

foo25 =

foo26 =

foo28=foo27 foo24 =

foo29=foo23-foo28=foo23-.

Now, is transformed to by the simple conventions preserving the determinant.

Then, 1+(foo26-1)) = .

foo30=trace(foo29)

Finally,  logdetJ=foo31