In Exercises apply part (b) or (c) of Exercise 26 to find the standard matrix of the transformation.
In Exercise 26
(b) Figure 3.14 suggests a way to find the matrix of Fe, using the fact that the diagonals of a parallelogram bisect each other. Prove that Fl(x) = 2Pl(x) - x, and use this result to show that the standard matrix of Fl is

(Where the direction vector of e is

(c) If the angle between e and the positive x-axis is θ, show that the matrix of Fl is

1. Reflection in the line y = 2x
2. Reflection in the line y = ˆš3 x

Transcribed Image Text:

cos 2θ sin2θ Fx)