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In R? let R be the rotation about the origin through the angle 2r/19. Then the matrix [R] representing R is 19/20 5/28 [R] = 5/28 19/20Your last answer was interpre...

Question

In R? let R be the rotation about the origin through the angle 2r/19. Then the matrix [R] representing R is 19/20 5/28 [R] = 5/28 19/20Your last answer was interpreted as follows:2 : 2 Consequently R transforms the point (-2,4) into -319/1C3 313/103Your last answer was interpreted as follows:349 IOO3

In R? let R be the rotation about the origin through the angle 2r/19. Then the matrix [R] representing R is 19/20 5/28 [R] = 5/28 19/20 Your last answer was interpreted as follows: 2 : 2 Consequently R transforms the point (-2,4) into -319/1C3 313/103 Your last answer was interpreted as follows: 349 IOO 3



Answers

Consider the transformation of $\mathbb{R}^{2}$ corresponding to a counterclockwise rotation through angle $\theta(0 \leq \theta<$ $2 \pi$ ). For $\theta \neq \pi / 2,3 \pi / 2,$ verify that the matrix of the transformation is given by $(6.2 .5),$ and describe it in terms of reflections, stretches, and shears.


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