Consider the following linear transformations on the plane: (i) Let T1 be the projection onto the line 6a: — 33; = 0

Math Jan 07, 2023

Consider the following linear transformations on the plane: (i) Let T1 be the projection onto the line 6a: — 33; =
0. Then T10!) = x E] (ii) Let T2 be the reflection about the line —49: — 1y = 0. Then T20!) = 3: (iii) Let T3 be the
counterclockwise rotation about the origin by an angle of 317/5. Then T3(x) = x