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It should.. I use a similar cable to connect my 17"MBP to a Phillips 52" HDTV. The MBP is able to display at the TV full resolution, the picture looks great.
 
yea i just wasn't sure if I got the right ends. feel like im always going to mess up the female/male ends
 
you need to connect your audio out to your speakers additionally, hdmi-dvi cannot carry the audio.;)
 
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