5. Let V be a finite-dimensional inner product space over C. Given u, v E V, prove that ||u+ v||? – ||u – v||? ||u + iv||² – ||u – iv|l, (u, v) -i. 4 4
5. Let V be a finite-dimensional inner product space over C. Given u, v E V, prove that ||u+ v||? – ||u – v||? ||u + iv||² – ||u – iv|l, (u, v) -i. 4 4
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 a finite-dimensional inner product space over C. Given u, v E V, prove that
||u+ v||? – ||u – v||?
||u + iv||² – ||u – iv|l,
(u, v)
-i.
4
4
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