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Mar 9, 2015 at 16:22 comment added Suvrit More easily, this also follows from Jacobi's identity: $\det(A[S]) = \det(A)\det(A^{-1}[\bar{S}]$, where $A[S]$ is the principal submatrix index by $S$, which $\bar{S}$ denotes the complement of $S$.
Mar 9, 2015 at 16:20 vote accept Vamsi
Mar 9, 2015 at 3:45 history answered Suvrit CC BY-SA 3.0