εHomework Statement
show that the determinant of a matrix A can be calculated as followings:
det[A]= 1/6 (A_ii A_jj A_kk + 2 A_ij A_jk A_ki - 3 A_ij A_ji A_kk
Homework Equations
The Attempt at a Solution
use ε_pqr det[A]= ε_ijk A_ip A_jq A_kr
ε_pqr...