My guess is that this is not going to work. Here's why: when you plug in a HDMI cable, the TV is going to assume that there's audio along with the video. So it will only send the HDMI audio to its speakers (of which of course there is none as DVI carries only video.) Plus, it appears that the red/white audio jacks on the TV are married to the yellow or S-video inputs only.
I could be wrong (its been know to happen every now and then...

) so give it a try.
When it doesn't work, you're best bet is to use an external stereo system for sound. You'd hook the red/white plugs from the computer to one of the inputs. Alternatively, you can use your computer speakers but either way, you might have sync issues.
Good luck.
__________________
If there are lawyers or politicians involved, logic may be a very poor tool for reaching a conclusion.