In Exercises, use matrices to prove the given statements about transformations from R2 to R2 a If R denotes a rotation (about the origin) through the angle , then R o R R b If is the angle between lines e and m (through the origin), then Fm Fl R 2 ...

a Using the formula for rotation through an angle from Example 358 we have R b Assume ...

In Exercises, use matrices to prove the given statements about transformations from R2 to R2 a. If

Question:

In Exercises, use matrices to prove the given statements about transformations from R2 to R2
a. If Rθ denotes a rotation (about the origin) through the angle θ, then Rα o Rβ = Rα+β
b. If θ is the angle between lines e and m (through the origin), then Fm ° Fl = R+2θ·