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Thytanium

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- TL;DR Summary
- In a tensor of order 1 (a vector) its magnitude, direction and sense must remain invariant given a change in coordinates; but in a tensor of order 2, I don't know what remains invariant.

Good morning friends of the Forum. For me it is difficult to geometrically imagine a tensor of order 2 and maybe that is why it is difficult for me to know, what remains invariant when making a change of coordinates of this tensor. The only thing I can think of it, is that since a tensor of order 2 is a tensor product of two vectors (Tensors of order 1), these two vectors remain invariant when changing coordinates and multiplying them tensorly. This I think is implicit in the definition of the order 2 tensor but I am not sure that these assertions I am making are correct. If you can clarify these doubts for me, I would appreciate it, friends of the Forum.