In some treatments of tensors, they're described as linear maps. So, in GR, if we have a linear map described as a 4x4 matrix of real numbers, which operates on a 4-vector described as a column matrix with entries (ct, x, y, z), which transforms to another 4-vector, what must be added in this description to claim that the linear transformation satisfies the definition of a tensor? TY, AG
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