I think the auto tranny used in the 2003 Matrix XRS was a different auto tranny than was used in the Matrix/Matrix XR/base Vibe, but I can't confirm that. Seems likely, but I don't know if Toyota used the same tranny in other models. Almost all of the 03 XRS's were 6 speed manuals, so if they only used that tranny in 03 XRS's, it will be a relatively rare thing to find. Then there'd be the question of whether an ECU out of anything other than an 03 auto XRS would really be compatible
people have replaced base 5 speeds with GT s-speeds, so that implies the tranny fit and bolt up are compatible between the 1ZZ and the 2ZZ. I would be concerned about using a base tranny with the 2ZZ unless you can verify it can handle the extra 50 HP of the 2ZZ. Would truly suck to sink that much time and money into such an extensive mod to then blow the tranny the first time you hit lift.
I'm with zbyers, it would probably be easier and cheaper to swap your current Vibe for a different car, potentially even a non-Vibe with the power you seek.
I found one 03 Matrix XRS with auto tranny on autotrader.com,
https://www.autotrader.com/cars-for-sal ... =534383442 Its in Minnnesota for $4.7K. Sometimes you have to be careful about the accuracy of autotrader listings, but this does look to be an actual XRS with auto tranny, pic shows auto shifter, no clutch pedal, and zooming in on one of the interior pics shows the tach with the 2ZZ redline, which is higher than the 1zz redline