I'm not sure what you are asking. Matlab has built-in functions for doing most of the things you might want to do with a matrix. When it comes to s-parameters you seldom have a single matrix with constant values. What you have is a matrix where each element is a non-trivial function of frequency. In practice we characterize devices across a frequency range of interest and use that information from individual elements of the s-parameter matrix to design circuits.
I suppose there might be some use to matrix operations if you could figure out a way to represent the data appropriately. It's beyond my capability.
That's pretty much the way you write thins with appropriate definitions for z, n, k and d. There is no implied multiplication, and if they are vectors then the result is also a vector.