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Math Help - Kronecker Delta/Alternating Tensor Question

  1. #1
    Super Member craig's Avatar
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    Kronecker Delta/Alternating Tensor Question

    Hi, just a quick question on an identity involving the Kronecker Delta and the Alternating Tensor.

    Just checking that I've got this right.

    Simplify \epsilon_{ijk} \epsilon_{pjk}

    I get:

    \epsilon_{ijk} \epsilon_{pjk} = \delta_{ip} \delta_{jj} - \delta_{ij} \delta_{jp}

    = 3 \delta_{ip} - \delta_{ij} \delta_{jp}

    = 3 \delta_{ip} - \delta_{ip}

    = 2 \delta_{ip}

    Is this the answer in it's simplest form?

    Thanks in advance
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  2. #2
    A Plied Mathematician
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    Looks good to me!
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  3. #3
    Super Member craig's Avatar
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    Thankyou
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  4. #4
    A Plied Mathematician
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    You're welcome!
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