class_docstr: Most tests done in the base class LinearOperatorDerivedClassTest.
class_docstr_tok: ["Most","tests","done","in","the","base","class","LinearOperatorDerivedClassTest","."]
code: def operator_and_matrix(
      self,
      build_info,
      dtype,
      use_placeholder,
      ensure_self_adjoint_and_pd=False,
  ):
      # Kronecker products constructed below will be from symmetric
      # positive-definite matrices.
      del ensure_self_adjoint_and_pd
      shape = list(build_info.shape)
      expected_factors = build_info.__dict__["factors"]
      matrices = [
          linear_operator_test_util.random_positive_definite_matrix(
              block_shape, dtype, force_well_conditioned=True
          )
          for block_shape in expected_factors
      ]
  
      lin_op_matrices = matrices
  
      if use_placeholder:
          lin_op_matrices = [
              array_ops.placeholder_with_default(m, shape=None)
              for m in matrices
          ]
  
      operator = kronecker.LinearOperatorKronecker(
          [
              linalg.LinearOperatorFullMatrix(
                  l,
                  is_square=True,
                  is_self_adjoint=True,
                  is_positive_definite=True,
              )
              for l in lin_op_matrices
          ]
      )
  
      matrices = linear_operator_util.broadcast_matrix_batch_dims(
          matrices
      )
  
      kronecker_dense = _kronecker_dense(matrices)
  
      if not use_placeholder:
          kronecker_dense.set_shape(shape)
  
      return operator, kronecker_dense
  
imports: import numpy
  from tensorflow.python.eager import backprop
  from tensorflow.python.framework import config
  from tensorflow.python.framework import dtypes
  from tensorflow.python.framework import ops
  from tensorflow.python.framework import test_util
  from tensorflow.python.ops import array_ops
  from tensorflow.python.ops import variables
  from tensorflow.python.ops.linalg import linalg
  from tensorflow.python.ops.linalg import linear_operator_kronecker
  from tensorflow.python.ops.linalg import linear_operator_lower_triangular
  from tensorflow.python.ops.linalg import linear_operator_test_util
  from tensorflow.python.ops.linalg import linear_operator_util
  from tensorflow.python.platform import test
label_desc: Use image node_id 4 for calling the SquareLinearOperatorKroneckerTest obj's underlying member method code with example usage: obj.operator_and_matrix(build_info, dtype, use_placeholder, ensure__adjoint_and_pd) and returns: operator,  kronecker_dense