Let u = (u1, u2, u3)T R3 be a unit vector. Show that Qn = 2uuT

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Let u = (u1, u2, u3)T ∈ R3 be a unit vector. Show that Qn = 2uuT - I represents rotation around the axis u through an angle π.

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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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Let u = (u1, u2, u3)T R3 be a unit vector. Show that Qn = 2uuT

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If v is orthogonal to u then u T v 0 and so Q v v ...View the full answer

Applied Linear Algebra

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