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I have this data that can be described by M*A = B, where M is a 3x3 matrix and A and B are 3x1 vectors.

Since I know and can collect A and B data, and I have 9 unknowns in the 3x3 matrix,

**I thought that collecting 9 pairs of A and B vectors would yield the matrix M's coefficients via 9 equations**.

However,

__it has not been the case.__For whatever reason, I'm not getting those coefficients. Is there something you recommend looking into?

I have both Mathematica and Matlab. It's very possible I'm not considering or overlooking a linear algebra principle. I just tried Solve in Mathematica, and I get { }, which is a meaningless, or better response!

Thank you