code: def _transform_banded_jac(bjac):
      """
      Convert a real matrix of the form (for example)
  
          [0 0 A B]        [0 0 0 B]
          [0 0 C D]        [0 0 A D]
          [E F G H]   to   [0 F C H]
          [I J K L]        [E J G L]
                           [I 0 K 0]
  
      That is, every other column is shifted up one.
      """
      # Shift every other column.
      newjac = zeros((bjac.shape[0] + 1, bjac.shape[1]))
      newjac[1:, ::2] = bjac[:, ::2]
      newjac[:-1, 1::2] = bjac[:, 1::2]
      return newjac
  
imports: import re
  import warnings
  from numpy import asarray, array, zeros, isscalar, real, imag, vstack
  from .None import vode
  from .None import _dop
  from .None import lsoda
label_desc: Use image node_id 1 for calling a global function with example usage: _transform_banded_jac(bjac) and returns: newjac