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Homework Help: Tensor product demonstration

  1. Apr 11, 2012 #1
    I have to demonstrate that if [tex]A^{rs}[/tex] is an antisymmetric tensor, and [tex]B_{rs}[/tex] is a symmetric tensor, then the product:

    So I called the product:
    In the las stem I've changed the indexes, because it doesn't matters which is which, but I'm not sure this is fine (because I think r and s could have have associated differents values in the sum).

    Is this ok?
  2. jcsd
  3. Apr 11, 2012 #2
    interchanging and relabeling an implied double summation is okay.
  4. Apr 11, 2012 #3
    Thank you xaos :)
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