Sony's gaming division indeed lost over $5 billion from 2006 - 2010. The chart in the link you posted shows it. I'm just iffy about the 2011 numbers. Which means PS3 lost well over $5 billion because PS2 and PSP have been profiting thoughout the PS3's life. PS3 could have lost more like $6 - 7 billion.
Sega had problems with Dreamcast right out the door. Some retailers didn't want to support them. Several major developers didn't want to support them (most notably Electronic Arts). The masses were waiting for PS2, Gamecube was on the way, and MS was entertering the industry with billions of dollars to piss away. Sega simply didn't have the resources to compete.
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