5. Let V be an inner product space over C. Show that for any v, w ɛ V (v, (v, w)w) = | (v, w) [² and | (u.v) | < u² + ||v||² Is it true that ((v, w)v, w) = | (v, w) [2?
5. Let V be an inner product space over C. Show that for any v, w ɛ V (v, (v, w)w) = | (v, w) [² and | (u.v) | < u² + ||v||² Is it true that ((v, w)v, w) = | (v, w) [2?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Let V be an inner product space over C. Show that for any v, w E V
(v, (v, w)w) = | (v, w) |² and | (u,v) | <
2
Is it true that ((v, w)v, w) = | (v, w) [²?
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