Question

For each of the following linear operators on R2, find the matrix representation of thetransformation with respect to the homogeneous coordinate system:1. The transformation L that rotates each vector by 120 degrees in the counterclockwise direction.2. The transformation L that translates each point 3 units to the left and 5 units up.3. The transformation L that contracts each vector by a factor of one third.4. The transformation that reflects a vector about the y-axis and then translates it up 2 units.Reference: Steven Leon - Linear Algebra with applications. chapter 4.2 linear transformations, exercise 10.Help me, I will rate you lifesaver