I was asked to simplify the following expression:

and my simplification went as follows..

But my book gives an answer of

Where did I go wrong?

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- Feb 7th 2011, 05:06 PMjameselmore91Simplification of Index Notation Expression.
I was asked to simplify the following expression:

and my simplification went as follows..

But my book gives an answer of

Where did I go wrong? - Feb 7th 2011, 05:22 PMAckbeet
The implied summation is over all three indices, since they're all repeated. The Levi-Civita symbol's relation to the Kronecker delta is given by

where the summation is explicitly indicated. Applying this to your situation yields

I think your mistake was in evaluating

That's equal to 3, not 9.