3. Let m =(√2/2) (e₁ + e₂) where e₁ and e2 are orthonormal vectors. Is there a tensor A such that Avm for any vector v?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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3. Let m = (√2/2)(e₁ +€2) where e₁ and e2 are orthonormal vectors. Is there a tensor A such that
= m for any vector v?
Av
Transcribed Image Text:3. Let m = (√2/2)(e₁ +€2) where e₁ and e2 are orthonormal vectors. Is there a tensor A such that = m for any vector v? Av
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