Prove that every proper affine plane isometry F[x] = Qx + b of R2, where det Q

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Prove that every proper affine plane isometry F[x] = Qx + b of R2, where det Q = 1, is either
(a) A translation, or
(b) A rotation (7.40) centered at some point c ∈ R2.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:00 AM

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Prove that every proper affine plane isometry F[x] = Qx + b of R2, where det Q

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If Q I then Fx x a is a translation Otherwise since we a...View the full answer

Applied Linear Algebra

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