code: def test_linear_operator_matmul_hints_closed(self):
      matrix = array_ops.placeholder_with_default(
          input=np.ones((2, 2)), shape=None
      )
      operator1 = LinearOperatorMatmulSolve(matrix)
  
      operator_matmul = operator1.matmul(operator1)
  
      if not context.executing_eagerly():
          # Eager mode will read in the input and discover matrix is square.
          self.assertEqual(None, operator_matmul.is_square)
      self.assertEqual(None, operator_matmul.is_non_singular)
      self.assertEqual(None, operator_matmul.is_self_adjoint)
      self.assertEqual(None, operator_matmul.is_positive_definite)
  
      operator2 = LinearOperatorMatmulSolve(
          matrix,
          is_non_singular=True,
          is_self_adjoint=True,
          is_positive_definite=True,
          is_square=True,
      )
  
      operator_matmul = operator2.matmul(operator2)
  
      self.assertTrue(operator_matmul.is_square)
      self.assertTrue(operator_matmul.is_non_singular)
  
      # A @ A is SA since A is.
      self.assertEqual(True, operator_matmul.is_self_adjoint)
  
      # A @ A is non-singular (since A is) and A @ A = A @ A.H is semi-def so...
      self.assertEqual(True, operator_matmul.is_positive_definite)
  
imports: import numpy
  from tensorflow.python.eager import context
  from tensorflow.python.framework import constant_op
  from tensorflow.python.framework import dtypes
  from tensorflow.python.framework import ops
  from tensorflow.python.framework import tensor_shape
  from tensorflow.python.framework import test_util
  from tensorflow.python.ops import array_ops
  from tensorflow.python.ops import linalg_ops
  from tensorflow.python.ops import math_ops
  from tensorflow.python.ops.linalg import linalg
  from tensorflow.python.ops.parallel_for import control_flow_ops
  from tensorflow.python.platform import test
label_desc: Use image node_id 15 for calling the LinearOperatorTest obj's underlying member method code with example usage: obj.test_linear_operator_matmul_hints_closed() without return types