Question: 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

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

In Exercises apply part (b) or (c) of Exercise 26

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

cos 2 sin2 Fx)

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