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It's possible to do the tensor product of two contravariant vectors?
It's possible to do the tensor product of two covariant vectors?
It's possible to do the tensor product of two covariant vectors?
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As long as the column vector is to the left of the row vector, you'll get it right. Another way to think about it is to let the indices in the product:meteor said:Ok, I think it goes this way:
If you want to do the tensor product of two covariant vectors A and B,with its components represented by two row vectors, then you do A^{T}XB, where X denotes matrix product and T denotes transpose, and the resulting matrix is the tensor product
Similarly, to do the tensor product of two contravariant vectors C and D, you do CXD^{T}
Is this correct?