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accepted Dimension of vector resulting from tensorial product
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Jul
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comment Dimension of vector resulting from tensorial product
Yes you are right, the main thing which has misguided me is the fact that he intends vector spaces (now i notice the first part "individual state SPACES"), since usually we describe quantum states as vectors, because we refer to particular elements, and that is the subject in this case. However thank you for your support
Jul
5
comment Dimension of vector resulting from tensorial product
In reality i found different books in which the definition of dimensions for a matrix was simply defined as n*c, n= rows, c= columns. I was thinking about something of similar in my case, but probably the question is not so trivial. Thank you for your help
Jul
5
comment Dimension of vector resulting from tensorial product
Yes, it's a pretty strange statement. I will try to ask further info to the authors. Thank you
Jul
5
comment Dimension of vector resulting from tensorial product
I disagree with your statement. Get a look here: people.rit.edu/pnveme/EMEM851n/constitutive/tensors_rect.html
Jul
5
comment Dimension of vector resulting from tensorial product
Hello, your statement is true if you want to maintain the three basic properties of cross product (in reality also 7d maintain them). Otherwise you can have n>3 d
Jul
5
comment Dimension of vector resulting from tensorial product
Thank you, I agree with the first part of your answer. However my real question was about the vector product. I am not able to visualize the second part effectively, so can you make a practical example with two vectors?
Jul
5
comment Dimension of vector resulting from tensorial product
Thank you for your answer, however I think that he is speaking about tensorial product of vectors (not vector spaces) about which I know enough to agree about what he says. My question was about the simple vector product: Do you think he made a mistake about that?
Jul
5
asked Dimension of vector resulting from tensorial product