Adjugate
Adjugate[m] gives the adjugate (classical adjoint) of a square matrix m.
Examples
Adjugate of a 2x2 matrix:
Adjugate[{{a, b}, {c, d}}]
(* {{d, -b}, {-c, a}} *)Relation to inverse:
m = {{1, 2}, {3, 4}};
Adjugate[m] == Det[m] * Inverse[m]
(* True *)Please visit the official Wolfram Language Reference for more details.