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For MAahcad v15 trial, mathcad.exe process doesn't close on XP x64 and Win7 x64 after closing the application.
I have also been seeing this running under XP. I have noticed that if one of these rogue Mathcad processes is left running when I shut the computer down, then I sometimes briefly see the "Insert Matrix" dialog appear before Windows kills it.
The rogue process doesn't always happen though, and so far I haven't seen it with the latest version of 15 (MC15_M005_20101105), so maybe it's finally fixed.