Working with Matrix-like data

I've been trying to work with matrix data, but i'm getting pretty stuck

Right now, i have two challenges ahead of me, but i supposed figuring one out may help me with the others.

Anyway, i want to do a multiplication between two lists of N matrixes of 6x6.

So far, i've been working with them as data tree, therefore i have a "3 dimensional" setup(Paths are [X,Y}(Z))

i'm an absolute begginer in any programming language, but so far i've done something like this:

ps: d is just an input, thats the number of dimensions,

both k and T are the lists of matrixes.

well, i'm hoping to get one matrix list as an output, what is what i attempted by the c{m} up there, and if possible eventually(after some more operations) bring them back to data tree format.

any ideas?

Thanks!

Bruno