For each of the following linear operators on R2, find the matrix representation of the transformation with respect to the homogeneous coordinate system:
(a) The transformation L that rotates each vector by 120? in the counterclockwise direction
(b) The transformation L that translates each point 3 units to the left and 5 units up
(c) The transformation L that contracts each vector by a factor of one-third
(d) The transformation that reflects a vector about the y-axis and then translates it up 2 units
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