code: def reorder_rows_and_cols_in_matrix(M, ordering):
      """Reorders the rows and columns in matrix M."""
      array_type = type(M)
      if (
          array_type == dok_matrix
      ):  # Check if a sparse matrix to convert to array
          M = np.asarray(M.todense())
      elif array_type == list:
          M = np.array(M)
      # Now do the reordering
      M = M[:, ordering][ordering]
      # Convert back
      if (
          array_type == dok_matrix
      ):  # Check if a sparse matrix for return
          M = dok_matrix(M)
      elif array_type == list:
          M = [list(m) for m in M]
      return M
  
imports: from __future__ import print_function
  from __future__ import division
  import numpy
  from scipy.sparse import dok_matrix
  from scipy.linalg import solve_triangular
label_desc: Use image node_id 27 for calling a global function with example usage: reorder_rows_and_cols_in_matrix(M, ordering) and returns: M