3.11. Let z1, 2,, Zn and w1, w2, , Wn be complex numbers. Estab- lish Lagrange's identity 2 ZkWk - zwk|2, |k=1 k=1 k=1 k

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3.11. Let z1, 2,, Zn and w1, w2,, Wn be complex numbers. Estab-
lish Lagrange's identity
12
n
n.
> zkWk
k=1
k=1
k<l
and deduce Cauchy's inequality
2
k=1
k=D1
k=1
VI
Transcribed Image Text:3.11. Let z1, 2,, Zn and w1, w2,, Wn be complex numbers. Estab- lish Lagrange's identity 12 n n. > zkWk k=1 k=1 k<l and deduce Cauchy's inequality 2 k=1 k=D1 k=1 VI
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