Solve 3.1.3 3.1.3. Show that (v, w) = ₁ ₁+₁ ₂+₂ W₁+v₂ w₂ does not define an inner product on R².formulas for (v, w) defines an inner product on R³.3.1.4. Prove that each of the following

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Answered: 3.1.3. Show that (v₁w) = V₁ W₁ + V₁…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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3.1.3. Show that (v₁w) = V₁ W₁ + V₁ W₂+₂ W₁ +₂ W₂ does not define an inner product on R². 3.1.4. Prove that each of the following formulas for (v, w) defines an inner product on R³.