Which of the following transformations T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 is linear?
T(x,y)=(x+1,y)T(x, y) = (x+1, y)T(x,y)=(x+1,y)
T(x,y)=(x2,y)T(x, y) = (x^2, y)T(x,y)=(x2,y)
T(x,y)=(x+y,x−y)T(x, y) = (x+y, x-y)T(x,y)=(x+y,x−y)
T(x,y)=(sinx,y)T(x, y) = (\sin x, y)T(x,y)=(sinx,y)