Pensieve header: Verifying properties of the minors of an adjoint matrix.

(A=Table[RandomInteger[{-3,3}], {5},{5}]) // MatrixForm

ω=Det[A]

Inverse[A] // MatrixForm

Minors[Inverse[A], 3] // MatrixForm

((Det[A])^(-2))Minors[Det[A]Inverse[A], 3] // MatrixForm