(a) Find the inverse of the rotation matrix where θ is a fixed angle. (b) Use your...
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where θ is a fixed angle.
(b) Use your result to solve the system
x = α cosθ - 6sinθ,
y = α sinθ + bcosθ,
for α and b in terms of x and y.
(c) Prove that, for any α R and 0
Transcribed Image Text:
cos θ sin θ -sin θ cos&
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