3 brio NoM Prove that any complex c'nner product com plex veclor space v, there s on a basi's u. Un? so Un} That a

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3 brio NoM
Prove
that
any complex c'nner product
com plex veclor space v, there s
on a
basi's
u.
Un? so
Un}
That
a
<x,y) = [y] [x]u
%3D
In other words
For any
Fencte dimensional
inner product space , shere c3 a
choice ob
respect to ohat
cs represented
standardcnner produet,
trosd
basi's
so Ohat
we'th
ohe cinner
CA
the
basi's,
product
by
U, v)
%3D
Srow
(ATA) 21=
brod for 2
Transcribed Image Text:3 brio NoM Prove that any complex c'nner product com plex veclor space v, there s on a basi's u. Un? so Un} That a <x,y) = [y] [x]u %3D In other words For any Fencte dimensional inner product space , shere c3 a choice ob respect to ohat cs represented standardcnner produet, trosd basi's so Ohat we'th ohe cinner CA the basi's, product by U, v) %3D Srow (ATA) 21= brod for 2
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