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?

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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