Suppose u1,.......,uk form an orthonormal set of vectors in Rn with k < n. Let Q =

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Suppose u1,.......,uk form an orthonormal set of vectors in Rn with k < n. Let Q = (u, u2 ... uk) denote the n × k matrix whose columns are the orthonormal vectors.
(a) Prove that QT Q = Ik.
(b) Is QQT = In?

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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 08:49 AM

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Suppose u1,.......,uk form an orthonormal set of vectors in Rn with k < n. Let Q =

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a The i j entry of Q T Q is the produ...View the full answer

Applied Linear Algebra

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