code: def test_Submodule_QQ_matrix():
      T = Poly(cyclotomic_poly(5, x))
      A = PowerBasis(T)
      B = A.submodule_from_matrix(2 * DomainMatrix.eye(4, ZZ))
      C = A.submodule_from_matrix(6 * DomainMatrix.eye(4, ZZ), denom=3)
      assert C.QQ_matrix == B.QQ_matrix
  
imports: from sympy.abc import x, zeta
  from sympy.polys import Poly, cyclotomic_poly
  from sympy.polys.domains import FF, QQ, ZZ
  from sympy.polys.matrices import DomainMatrix, DM
  from sympy.polys.numberfields.exceptions import ClosureFailure, MissingUnityError, StructureError
  from sympy.polys.numberfields.modules import Module, ModuleElement, ModuleEndomorphism, PowerBasis, PowerBasisElement, find_min_poly, is_sq_maxrank_HNF, make_mod_elt, to_col
  from sympy.polys.numberfields.utilities import is_int
  from sympy.polys.polyerrors import UnificationFailed
  from sympy.testing.pytest import raises
label_desc: Use image node_id 23 for calling a global function with example usage: test_Submodule_QQ_matrix() without return types