Question 1 - I know a tensor is not a matrix. But the values of each component of a tensor of the form A(adsbygoogle = window.adsbygoogle || []).push({}); _{μ1}_{μ2}can be arranged in exactly the same way as in a usual 2-dimensional matrix. I was wondering if it would be possible to represent a A_{μ1}_{μ2}_{μ3}tensor by a 3-dimensional matrix, and likewise (although it can not be visualized) a A_{μ1}..._{μ∞}tensor by a ∞-dimensional matrix.

Question 2 - Now, I've never seen in my linear algebra course the entries of a matrix A be represented as A_{λ}^{ρ}. So how would it look like if we wish, as in "Question 1", to represent the components A_{λ}^{ρ}of a (1,1) tensor by a matrix?

A one more question: is four the max number of lower indices that a tensor can have in GR?

(Sorry for my poor English.)

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# I A question about tensors

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