It may or may not work depending on a lot of factors. The DVI standard defined both a digital signal path DVI-D and an analog signal path DVI-A. The adapter works with DVI-D, but not DVI-A. Many of the earlier video cards had DVI-A, so that wouldn't work.
Also, the DVI standard was video only. Even if you get the path working, you will need to connect an audio path to the TV, such as the analog RCA connectors.
I would try and figure out the model number and confirm that the DVI output is DVI-D. Try to also find out the resolution and refresh rates that can be used with these outputs and make sure they can be synched by the Samsung. Most of ther nvidia cards have manuals and datasheets online. If it all matches up, you are good to go.