Let L: Rn Rn be a linear operator and S = {v1, V2,..., v} an orthonormal

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Let L: Rn → Rn be a linear operator and S = {v1, V2,..., v"} an orthonormal basis for Rn. Prove that L is an isometry if and only if T = (L(v1), L(v2),..., L(v")} is an orthonormal basis for Rn?

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:51 AM

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Let L: Rn Rn be a linear operator and S = {v1, V2,..., v} an orthonormal

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Suppose that L is an isometry Then Lv i Lv j v i v j so Lv i L...View the full answer

Elementary Linear Algebra with Applications

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