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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 94E

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Consider the mapping (·, ·) : R" × R” → R defined by
n
(u,v) = |ui||vi|, Vu, v€ Rn.
i=1
Show which defining properties of inner products are satisfied by this mapping. Provide a counterex-
ample for properties not satisfied.

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