- #1
blalien
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Homework Statement
This is all in summation notation.
Given a 3x3 matrix [tex]A_{ij}[/tex], show that [tex]det[A]=1/6(A_{ii}A_{jj}A_{kk}+2A_{ij}A_{jk}A_{ki}-3A_{ij}A_{ji}A_{kk})[/tex]
Homework Equations
I've been told that we're supposed to begin with
[tex]det[A]=1/6\epsilon_{ijk}\epsilon_{pqr}A_{ip}A_{jq}A_{kr}[/tex]
The Attempt at a Solution
I hate to say this, but I have no idea where to start. I would really appreciate if somebody could just give me the first step and push me in the right direction.