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.
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.
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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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2c0c5ef-82df-4004-87ca-796f166491fb%2F781a86e9-9523-459d-af5f-11a401635dd4%2F495ohgo_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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