Let (,) be an inner product on a vector space V over the field of complex numbers C. Using the properties: • (cv + du, w) = c(v, w) + d(u, w), • (v, w) = (w, v), show that for any v, we V and > € C (v, \w) = (v, w).
Let (,) be an inner product on a vector space V over the field of complex numbers C. Using the properties: • (cv + du, w) = c(v, w) + d(u, w), • (v, w) = (w, v), show that for any v, we V and > € C (v, \w) = (v, w).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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