Let v and w be elements of an inner product space. Prove that ||v + w||2 =

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Let v and w be elements of an inner product space. Prove that ||v + w||2 = ||v||2 + ||w||2 if and only if v, w are orthogonal. Explain why this formula can be viewed as the generalization of the Pythagorean Theorem.

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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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Let v and w be elements of an inner product space. Prove that ||v + w||2 =

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Applied Linear Algebra

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