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Tensor product of 2 column vectors?

How do I do this?

I have two 2x1 column vectors, and I want to tensor product them together. The way we have been taught, you would get a 4x1 out; is this correct?

My textbook (Boas) doesn't have an example and Wikipedia goes on about an outer product and confusing me.

Update:

EDIT: It may well be outer product, it's just given me the tensor product symbol. Confusing me.

Update 2:

EDIT2: Thanks for your reply, but I'm still confused by the question. It has the tensor product symbol between 2 2x1 vectors, and it clearly asks for a vector out.

Later on I generate a 4x4 operator and am asked to apply it to the result of the tensor product. I can't do that if the output is a 2x2, it needs 4 columns!

It's possible the question is wrong, however.

1 Answer

Relevance
  • Lola F
    Lv 7
    1 decade ago
    Favorite Answer

    Tensor products of vectors are outer products. The wikipedia page is the place to go probably. The result will be a 2x2 tensor.

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