>>11212921A tensor is any linear mapping between algebraic objects, which can be represented by a multidimensional list. So everything in the first could be considered tensors, as matrices map vectors to vectors, and vectors map covectors to scalars or matrices to vectors, even scalars are 0D tensors that map scalars to scalars, vectors to vectors, etc. Your second column could be generalized as the norm, which means different things depending on context but generally captures the "size" of the mapping. "quality" seems ill-defined to me.
