Show that a transformation of a system of 2nd order is possible

Hi there

This is the exercise I'm trying to solve:

$$

Show that the general ansatz

(1)

can be transformed to the following

(2)

when u has continuous derivatives of second order

$$

by div(u) the divergence of u is meant and when I calculate (2) and just write it down I get all the same as in (1) excepted the part with the matrix (notice: A does depend on x... is a matrix of functions):

Well so do I just have to set and the proof is complete? Not really, yeah? I did not substitute or transform anything???

What do I have to do here?

Regards

Huberscher

Re: Show that a transformation can be hapen of a system of 2nd order

I tried the transformation

where A is the matrix

but that one isnt invertible. Cant anybody give me a hint how to show this?

Regards