Colour correction/Colour balance in Post processing of Raw images

I have some RAW files (CR2 and NEF) captured using Canon & Nikon cameras. If I have to perform Colour balancing/Colour correction using Lightroom or Adobe Photoshop CS, would those tools give me the colour correction matrix (assuming it uses a 3x3 or 3x4 matrix to perform colour balancing of the raw image after it has been demosaiced/interpolated to RGB)

Will I be able to get the coefficients of the colour correction matrix used by the post processing tools. I need these matrix coefficients to plug in my own post processing code to see If I get similar output after colour correction or not?

Any pointers would be useful.

thanks,

-AD