Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the scalars, or Zp, the integers modulo a prime p. What would happen if we tried to define an inner product space for a vector space with scalars in Q or in Z„? Are there any problems with the inner product space conditions in either case?

Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the scalars, or Zp, the integers modulo a prime p. What would happen if we tried to define an inner product space for a vector space with scalars in Q or in Z„? Are there any problems with the inner product space conditions in either case?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 8EQ
See similar textbooks
icon
Related questions
Question

Please explain and elaborate as much as possible. You can answer is in whatever way you want (ex. paragraph), and feel free to make examples to prove the points. The flow should be logical and concise. I'll leave a like for sure. Thank you. 

 

Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the scalars, or Z,, the integers modulo a prime p. What would happen if we tried to define an inner product space for a vector space with scalars in Q or in Zp? Are there any problems with the inner product space conditions in either case?
Transcribed Image Text:Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the scalars, or Z,, the integers modulo a prime p. What would happen if we tried to define an inner product space for a vector space with scalars in Q or in Zp? Are there any problems with the inner product space conditions in either case?
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer