Is it possible to generate an inverse of an order 3 tensor? If so, how? I have been searching for a couple days, and cannot seem to find anything online to help with this.
How to generate the inverse of a order 3 tensor
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tensors
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0That is a definition of the inverse of a matrix. What do you mean by the inverse of an order 3 _tensor_? – 2012-06-20
1 Answers
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Think about how to regard an order 3 tensor as a linear map of spaces of the same dimension?
$V^3 \rightarrow \mathbb R$
$V\rightarrow L(V,V)$
$L(V,V)\rightarrow V$
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0@QiaochuYuan I would be grateful if you could give me a reference or helpful link to a proof/further exposition on the statement that "no such map can have an inverse". – 2015-03-11