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Vector Calculus

  1. Sep 19, 2014 #1
    1. The problem statement, all variables and given/known data

    Show:
    εlmn detA = εijkAilAjmAkn


    2. Relevant equations

    not sure

    3. The attempt at a solution

    I'm really not sure where to begin. I understand index notation (at least I think I do). Can anyone help me get started? I think that once I have the first step, I'll be ok with the rest. Thanks!
     
  2. jcsd
  3. Sep 19, 2014 #2

    Fredrik

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    Is the matrix 3×3? What's your definition of det A? If you're using a definition that doesn't look useful, do you know another formula for det A in terms of the components of A, or in terms of the rows or columns of A?
     
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