Same Problem here:
Manufacturer: Sony Corporation
Product Name: VPCS11V9E
should be nearly the same machine.
Vkai@kai-vaio:~/Downloads$ lspci -nn | grep nVidia
01:00.0 VGA compatible controller : nVidia Corporation Device [10de:0a75] (rev a2)
01:00.1 Audio device : nVidia Corporation High Definition Audio Controller [10de:0be3] (rev a1)
It is a Geforce 310M card.
I followed all the instructions in this thread but nothing worked on my machine.
Update to driver 195.36.08 didn't help.
Any suggestions to bring backlight control to work?