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Let V be an inner-product space with inner-product (·|·), and u₁,..., un Є V. Define a function TV → V by n T(v) = Σ(ūūk)ūk Verify that T is a linear transformation. k=1

Let V be an inner-product space with inner-product (·|·), and u₁,..., un Є V. Define a function TV → V by n T(v) = Σ(ūūk)ūk Verify that T is a linear transformation. k=1

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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Let V be an inner-product space with inner-product (·|·), and u₁,..., un Є V. Define a function TV → V by n T(v) = Σ(ūūk)ūk Verify that T is a linear transformation. k=1
Transcribed Image Text:Let V be an inner-product space with inner-product (·|·), and u₁,..., un Є V. Define a function TV → V by n T(v) = Σ(ūūk)ūk Verify that T is a linear transformation. k=1
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