Let B = {v1, v2, V3} be a basis for R3. For any u, v E R³ define || (u, v) = [u]E[v]B• (a) Is (, ) an inner product? (b) Can you find a matrix A (constructed using v1, v2, and v3) such that (u, υ) - uTΑυ?!
Let B = {v1, v2, V3} be a basis for R3. For any u, v E R³ define || (u, v) = [u]E[v]B• (a) Is (, ) an inner product? (b) Can you find a matrix A (constructed using v1, v2, and v3) such that (u, υ) - uTΑυ?!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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part b please
![Let B = {v1, V2, V3} be a basis for R3. For any u, v E R³ define
||
(u, v) = [u]E[v]B.
•
(a) Is (,) an inner product?
(b) Can you find a matrix A (constructed using v1, V2, and v3) such that
(u, v) = u" Av?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6930ee80-8acd-4d77-ba8c-cb9284eed606%2Faf9f6bfd-1be7-47b1-a126-a293b1ac97aa%2Fapz4xfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let B = {v1, V2, V3} be a basis for R3. For any u, v E R³ define
||
(u, v) = [u]E[v]B.
•
(a) Is (,) an inner product?
(b) Can you find a matrix A (constructed using v1, V2, and v3) such that
(u, v) = u" Av?
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