Model Identification with Matrices

Hello, I have the following measured data (no time sequence !):
A = [30x1] %input 1
B = [1x5} %input 2
C = [30x5] %output
So the model can be described by:
A * B = C
For identification I look for a function like:
C = f(A, B)
There are no parameters required for A or B, because this is measured data.
What is the best way to identify such function ? Grey-Box-Modelling / Least-Square ?
Can you post a code with small explanation please ?
Thank you very much

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2015-3-30

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2015-3-31

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