In C[-1,1], with the standard inner product f(x) = e² and f(x) = e ² are orthogonal. %3D O True O False

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]
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True or False?

In C[-1,1], with the standard inner product f(x) = ez and f(x) = e are
orthogonal.
True
False
Transcribed Image Text:In C[-1,1], with the standard inner product f(x) = ez and f(x) = e are orthogonal. True False
If the vectors x and y are orthogonal in an inner product space then the distance ||r – y|| is l|=||? + ||y||?.
True
False
Transcribed Image Text:If the vectors x and y are orthogonal in an inner product space then the distance ||r – y|| is l|=||? + ||y||?. True False
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