In this exercise, we continue to explore some of the
Chapter 10, Problem 60(choose chapter or problem)
In this exercise, we continue to explore some of the connections between matrices and geometry. As in Exercise 59, we will use 2 1 matrices to specify the coordinates of points in the plane. Let P, S, and T be the matrices defined as follows: Notice that the point P lies on the unit circle.(a) Compute the matrix SP. After computing SP, observethat it represents the point on the unit circle obtainedby rotating P (about the origin) through an angle u.(b) Show that(c) Compose (ST)P? What is the angle through which Pis rotated?
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