For the position vector P1 (1,1) P2 (3,1), P3 (4,2) and P4(2,3) that define a square, develop a transformation matrix which is scaled by scaling factor 1.5 in both -X and -Y direction, rotates about the origin by 90o in clockwise direction and then reflects about the x axis. All these transformations are to be done one after another in sequence. Determine the transformed position vectors.
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