You are mixing 2 3D standard implemented in the industry. One is Nvidia (DVI) and the other that is common to HDTV that use HDMI 1.4.
PS3 3D playback use HDMI 1.4
Try it see if it works. You already have the hardware. It may not work due to different software protocol to handle the 2 set of image for left/right eye. There is nothing to lose in trying.