1. [1 point each] Determine if the following transformations are linear or not. (a) T : R2 - R2, T([x, y]]) = [2x + 1, x - 2y]]. (b) T: R2 -> R2 is a rotation through the agnle 7/6 clockwise around the origin. (c) T : R' -> R3, T([x, y]] ) = [x2, x + y, 2.x - y]]. (d) T : R2 - R3, T([x, y]]) = [x - 2y, 3x + 4y, Ty]T. (e) T : R2 - R2 is a projection onto a line & of slope m E R. (f) T : R3 - R, T([x, y, z])T) = (xyz) 1/3. (g) T : R3 - R2 is such that T([1, 1, 1]]) = [1, 1]T, T([1, 2, 3]]) = [1, 2] and T( [1, 2, 4]7 = [1, 4 ]