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Inner product for work

  1. Sep 2, 2014 #1
    1. The problem statement, all variables and given/known data

    http://postimg.org/image/lgphyvggz/

    2. Relevant equations



    3. The attempt at a solution

    can someone explain where that transpose came from in (3.3)?
     
  2. jcsd
  3. Sep 3, 2014 #2

    HallsofIvy

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    In any inner product space the "transpose" (more generally, "adjoint") of a linear operator is defined by [itex]<u, Av>= <A^Tu, v>[/itex].

    3.3 is just saying that [itex]<Au, Av>= <A^T(Au), v>[/itex]
     
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