1. Let x = = [ x-[2] and y=[-12] (a) 3 points Are x and y orthogonal with respect to the dot product? Explain why or why not. (b) Are x and y orthogonal with respect to the following inner product? (x, y) = x¹ Ay Explain why or why not. where A = 3 -2 -2 5
1. Let x = = [ x-[2] and y=[-12] (a) 3 points Are x and y orthogonal with respect to the dot product? Explain why or why not. (b) Are x and y orthogonal with respect to the following inner product? (x, y) = x¹ Ay Explain why or why not. where A = 3 -2 -2 5
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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Question
![1. Let x =
= [
- [2] and y=[-12]
H
6
(a) 3 points) Are x and y orthogonal with respect to the dot product? Explain why or
why not.
(b)
Are x and y orthogonal with respect to the following inner product?
(x, y) = x¹ Ay
Explain why or why not.
where A =
3
-2 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb4ae4-0d65-4baa-9481-63f79be91eca%2F1841b691-bbfc-40a3-9f06-5800d65e500b%2Fze0nvy5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let x =
= [
- [2] and y=[-12]
H
6
(a) 3 points) Are x and y orthogonal with respect to the dot product? Explain why or
why not.
(b)
Are x and y orthogonal with respect to the following inner product?
(x, y) = x¹ Ay
Explain why or why not.
where A =
3
-2 5
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