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Symmetric tensor

  1. Nov 3, 2008 #1
    1. The problem statement, all variables and given/known data

    Demostrate:
    [tex]c\cdot (A \times b) \neq (A \times b) \cdot c[/tex]

    with [tex]A \in\Re^{3 \times 3}[/tex] is a symmetric Tensor of second order and [tex] b,c \in \Re^3 [/tex] are vectors

    2. Relevant equations



    3. The attempt at a solution

    [tex] (A \times b)_ {ij} = A_{ij} \epsilon _{jkl} b_l [/tex]
     
  2. jcsd
  3. Nov 3, 2008 #2

    gabbagabbahey

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    Let's define another tensor [itex]T[/itex] by [itex]T_{ij}=(A \times b)_ {ij} = A_{ij} \epsilon _{jkl} b_l[/itex]...
    what is [itex]c \cdot T[/itex] ?...how about [itex]T \cdot c[/itex] ?
     
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