anyway, my kvstchn:
I am in the middle of some Calculation with alternating products and stuff in multilinear algebra. and i am trying to show that this result i am getting $\sum_{\sigma \in S_k} sgn(\sigma) * \Pi_i Det A_{\sigma(i),i}$ is equal to the determinant of the Adjunct matrix, the problem is, the adjunct matrix has these $-1^{ij}$, thing going on for each element. How can i insert this in my result since its dependent on the permutation : so i can use the formel of Leibniz