Which transformation T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 is NOT linear?
T(x,y)=(x+y,x−y)T(x, y) = (x+y, x-y)T(x,y)=(x+y,x−y)
T(x,y)=(2x,y2)T(x, y) = (2x, y^2)T(x,y)=(2x,y2)
T(x,y)=(0,0)T(x, y) = (0, 0)T(x,y)=(0,0)
T(x,y)=(x,2x+y)T(x, y) = (x, 2x+y)T(x,y)=(x,2x+y)