Which of the following transformations T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 is a linear operator?
T(x,y)=(x+1,y)T(x, y) = (x+1, y)T(x,y)=(x+1,y)
T(x,y)=(x2,y2)T(x, y) = (x^2, y^2)T(x,y)=(x2,y2)
T(x,y)=(2x−y,x+y)T(x, y) = (2x-y, x+y)T(x,y)=(2x−y,x+y)
T(x,y)=(∣x∣,y)T(x, y) = (|x|, y)T(x,y)=(∣x∣,y)