- #1
kent davidge
- 933
- 56
Question 1 - I know a tensor is not a matrix. But the values of each component of a tensor of the form Aμ1μ2 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 Aμ1μ2μ3 tensor by a 3-dimensional matrix, and likewise (although it can not be visualized) a Aμ1...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 Aλρ. So how would it look like if we wish, as in "Question 1", to represent the components Aλρ 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.)
Question 2 - Now, I've never seen in my linear algebra course the entries of a matrix A be represented as Aλρ. So how would it look like if we wish, as in "Question 1", to represent the components Aλρ 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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