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Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u +3v). 2) Prove that ||u-v|| + ||u + v1|² = 2||u||² + 2 ||v||².

Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u +3v). 2) Prove that ||u-v|| + ||u + v1|² = 2||u||² + 2 ||v||².

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u+ 3v). 2) Prove that ||uv|| + ||u + v1|² = 2||u||² + 2 ||0|| ². -
Transcribed Image Text:Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u+ 3v). 2) Prove that ||uv|| + ||u + v1|² = 2||u||² + 2 ||0|| ². -
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