Let's say I have a vector space V of dimension n, and I have various elements of V⊗V, which you can think of as n×n matrices. I want to check whether these elements are linearly dependent, and in some cases find a relation. But if I create a matrix space MS, it has no attribute linear_dependence, like with vector spaces.
Do I have to just create a n2-dimensional vector space W and then define the bilinear mapping from V to W? And what about rank 3 tensors, which form a n3-dimensional space?
