Let's ask Toyota!
They have the same drivetrain and it's sometimes referred to as the Corolla Matrix. No idea on the suspension/etc, though.
I know it's tempting to follow marketing, but they were trying to cash in on the proven Corolla name by virtue of the basic platform being shared (not the same as a re-skin obviously).
The specs tell the tale :
2003 Matrix :
Width: 69.9 in.
Height: 60.6 in.
Length: 171.3 in.
Ground clearance: 5.9 in.
Front track: 59.6 in.
Rear track: 58.9 in.
Wheel base: 102.4 in.
Cargo capacity, all seats in place: 21.8 cu.ft.
Maximum cargo capacity: 53.2 cu.ft.
EPA interior volume: 96.2 cu.ft.
Gross weight: .32 in.
Curb weight: 2679 lbs.
2003 Corolla :
Width: 66.9 in.
Height: 57.5 in.
Length: 178.3 in.
Ground clearance: 5.7 in.
Front track: 58.3 in.
Rear track: 57.5 in.
Wheel base: 102.4 in.
Cargo capacity, all seats in place: 13.6 cu.ft.
Maximum cargo capacity: 13.6 cu.ft.
EPA interior volume: 90.3 cu.ft.
Gross weight: .30 in.
Curb weight: 2502 lbs.
Different weight, wheelbase, width, clearance, basically everything, though obviously drivetrains are shared (as they are in many cases, but nobody should confuse a Maxima with a G35 just because they share the drivetrain).