I think the easiest way to mung a DCP is to use command-line dcamprof, or its GUI sister Lumariver. Anders give you a number of parameters to confidently modify the “look” delivered by the profile.
The purpose of those matrices is to get the colors into a more-or-less standard color space.
For aesthetic purposes, I would proceed from there, eg use the color calibration module in Darktable. If you dial in your look (in a separate instance, preferably after using the same module for WB), you can save that as a preset.
(Also, note that in the Play Raw category, people usually post a raw file for others to edit.)
" DCamProf actually makes three matrices, one “ColorMatrix” which is only used for light temperature estimation (that is no real color reproduction), one “LUTMatrix” which is a technical matrix only used for avoiding clipping in a DNG pipeline. You don’t need to care about those two, just look at the “ForwardMatrix”, it’s that that is the matrix."
Yes, dcamprof is a bit obtuse. Anders Torger, its author, wrote a GUI shell around the dcamprof engine, called Lumariver. It costs money, but it would probably be a better way for you to address your need without having to learn command line switches.
While its not a matrix adjustment in the sense of directly tweaking the numbers I get a sense that the free profile editor provided by Adobe, will likely do what the OP wants visually and quite easily esp is a color chart is used as the source image…but I could be wrong…
So, to directly respond to the thread title, I’d say yes, if you want very slight color changes due to a slightly different matrix for the computed color temperature. Note that a lot of us use the D65 matrix for our camera in (insert favorite FOSS software) no matter what color temperature was the light, and we don’t notice a deficiency.
If one wants to tweak the matrix (ForwardMatrix, in DCP-land), the dcamprof options allow a bit more intuitive control than just changing the numbers around, albeit command-line obtuse. And, obtuse themselves, as controlling color is not a straightforward task.
I don’t know the Adobe profile editor, so I can’t help with asserting its appropriateness. Can’t be bad, after all it’s Adobe…
Going from Robyn’s video I linked above…its really easy to use and powerful…when I say visual…you are making changes in real time that you can later apply and you can see all the shifts on the color wheel… this might be easier for someone out of the gate…
Yes, I also can achieve this with channel mixer, but if I directly mod the ColorMatrix data in the DNG, it fails to look like the result from channel mixer.