(a) Find the inverse of the rotation matrix where θ is a fixed angle. (b) Use your...

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(a) Find the inverse of the rotation matrix
(a) Find the inverse of the rotation matrix
where θ is

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 ˆˆ R and 0

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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