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I would like to know if it is possible (and the solution, if known, please!) to extract a 3x3 matrix [A] from a curl operation. Specifically, if B is a 3x1 (column) vector,

∇x([A]B) = [C](∇xB)

What is the value of tensor [C]? Would [C] be a 3x3 matrix as well, or a different rank tensor? Can I express [C] in terms of [A]?

Thanks!

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# Extracting a matrix from a curl operation

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