code: def test_adjugate():
      x = Symbol("x")
      e = Matrix(
          4, 4, [x, 1, 2, 3, 4, 5, 6, 7, 2, 9, 10, 11, 12, 13, 14, 14]
      )
  
      adj = Matrix(
          [
              [4, -8, 4, 0],
              [76, -14 * x - 68, 14 * x - 8, -4 * x + 24],
              [-122, 17 * x + 142, -21 * x + 4, 8 * x - 48],
              [48, -4 * x - 72, 8 * x, -4 * x + 24],
          ]
      )
      assert e.adjugate() == adj
      assert e.adjugate(method="bareiss") == adj
      assert e.adjugate(method="berkowitz") == adj
      assert e.adjugate(method="bird") == adj
      assert e.adjugate(method="laplace") == adj
  
      a = Matrix(2, 3, [1, 2, 3, 4, 5, 6])
      raises(NonSquareMatrixError, lambda: a.adjugate())
  
imports: import random
  import pytest
  from sympy.core.numbers import I
  from sympy.core.numbers import Rational
  from sympy.core.symbol import Symbol, symbols
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.polys.polytools import Poly
  from sympy.matrices import Matrix, eye, ones
  from sympy.abc import x, y, z
  from sympy.testing.pytest import raises
  from sympy.matrices.exceptions import NonSquareMatrixError
  from sympy.functions.combinatorial.factorials import factorial, subfactorial
label_desc: Use image node_id 10 for calling a global function with example usage: test_adjugate() without return types