22. Let f be a linear functional on a subspace S of a finite-dimensional inner product space V. Let f(v) = (v, Rf). Suppose that g € V* is an extension of f, that is, gls = f. What is the relationship between the Riesz vectors Rf and Rg?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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22. Let f be a linear functional on a subspace 5 of a finite-dimensional inner
product space V. Let f(v) = (v, Rf). Suppose that g € V* is an extension
of f, that is, gls = f. What is the relationship between the Riesz vectors Rf
and Rg?
Transcribed Image Text:22. Let f be a linear functional on a subspace 5 of a finite-dimensional inner product space V. Let f(v) = (v, Rf). Suppose that g € V* is an extension of f, that is, gls = f. What is the relationship between the Riesz vectors Rf and Rg?
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