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I am working on my homework for a class, and I am really stuck

the question I was given was:

prove that S(a ⊗ b) = (Sa) ⊗ b

Does anyone have any tips on how to solve this?

For further explanation this is problem 6a from this book on the page the link goes to

  • 4
    Maybe you could say what $S$ is supposed to be.2011-02-13
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    sorry I should have elaborated further. S is suppose to be a tensor map while a and b are supposed to be vectors.2011-02-13
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    What do you mean by "tensor map"? Is it linear? What is its domain and range?2011-02-13
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    upon further looking at the book, it looks like a linear map. But I guess what they were just trying to get across is that it is a Tensor. such that v = Su. The hint in the back of the book says apply each side of the identity to an arbitrary vector v.2011-02-13
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    The terminology of the book does not seem to be standard. In order to get help, you really need to elaborate more on what S, a, and b precisely are. And v and u.2011-02-13

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