The elements of the transfer matrix are:

Row   Column   Value
---   ------   -----
  1        1     0.000
  1        2     0.333
  1        3    -0.143
  2        1     0.000
  2        2     0.000
  2        3     0.000
  3        1    -0.833
  3        2     0.222
  3        3     0.000