code: def test_simple(self):
      a = [[8, 2, 3], [2, 9, 3], [3, 3, 6]]
      c = cholesky(a)
      assert_array_almost_equal(dot(transpose(c), c), a)
      c = transpose(c)
      a = dot(c, transpose(c))
      assert_array_almost_equal(cholesky(a, lower=1), c)
  
imports: from numpy.testing import assert_array_almost_equal, assert_array_equal
  from pytest import raises
  from numpy import array, transpose, dot, conjugate, zeros_like, empty
  from numpy.random import random
  from scipy.linalg import cholesky, cholesky_banded, cho_solve_banded, cho_factor, cho_solve
  from scipy.linalg._testutils import assert_no_overwrite
label_desc: Use image node_id 1 for calling the TestCholesky obj's underlying member method code with example usage: obj.test_simple() without return types