Hello! I am reading about tensors and I am a bit confused about rank-2 tensors. From what I understand they can be represented by a matrix. However I am not sure I understand the difference between (2,0), (0,2) and (1,1) tensors. I understand that they act on different objects (vectors or one forms or both) but having a matrix, how can u know what kind of tensor it is? Also, for example I saw definitions of electromagnetic field strength tensor written both as (2,0) and (0,2) tensor and I am not sure I understand the difference. What would be the 2 vectors it can act on and what would be the 2 one-forms it can act on, and how do we know when to use the right form?