code: def test_dm_adj_det(name, A, A_inv, den):
      assert A.adj_det() == (A_inv, den)
  
file_path: sympy/sympy/polys/matrices/tests/test_inverse.py
imports: from sympy import ZZ
  from sympy.polys.matrices import DM, DomainMatrix
  from sympy.polys.matrices.dense import ddm_iinv
  from sympy.polys.matrices.exceptions import DMNonInvertibleMatrixError
  from sympy.matrices.exceptions import NonInvertibleMatrixError
  import pytest
  from sympy.testing.pytest import raises
label_desc: Use image node_id 8 for calling a global function with example usage: test_dm_adj_det(name, A, A_inv, den) without return types