Prove that if v1, v2 form a basis of an inner product space V and ||v1|| =

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Prove that if v1, v2 form a basis of an inner product space V and ||v1|| = ||v2|| then v1 + v2 and v1 - v2 form an orthogonal basis of V.

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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 08:47 AM

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Prove that if v1, v2 form a basis of an inner product space V and ||v1|| =

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v 1 v 2 v 1 v 2 v 1 2 v 2 2 0 by assumption More...View the full answer

Applied Linear Algebra

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