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## Homework Statement

I do not know if the following is correct;if it is,I will be able to save some calculation while doing a problem.Can you please let me know if it is true:

[tex]\epsilon_{ijk}\*\epsilon_{lmn} =

\left(\begin{array}{ccc}\ g_\ {11}&\ g_\ {21}&\ g_\ {31}\\ g_\ {12}&\ g_\ {22}&\ g_\ {32}\\ g_\ {13}&\ g_\ {23}&\ g_\ {33}\end{array}\right)[/tex]

## Homework Equations

definition of [tex]\epsilon_\ {ijk}[/tex]

definition of the "metric" tensor [tex]\ g_{ij}[/tex]

## The Attempt at a Solution

let me see first if the latex output has come OK.

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