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The Cauchy-Schwarz inequality says that if d = vectors in R", (a1,..., an) and 6 = (b1,..., bn) are two then In this exercise you will give a proof of this inequality using multivariable calculus. (a) Assume that the inequality is true for all 5 e R" with ||6|| = 1. Deduce from this that the inequality must then be true for all b E R".

The Cauchy-Schwarz inequality says that if d = vectors in R", (a1,..., an) and 6 = (b1,..., bn) are two then In this exercise you will give a proof of this inequality using multivariable calculus. (a) Assume that the inequality is true for all 5 e R" with ||6|| = 1. Deduce from this that the inequality must then be true for all b E R".

Advanced Engineering Mathematics
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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(a1,..., an) and 6 = (b1,.. , bn) are two The Cauchy-Schwarz inequality says that if đ = vectors in R", then lā - 5| < ||ä|||. In this exercise you will give a proof of this inequality using multivariable calculus. (a) Assume that the inequality is true for all b e R" with |||| = 1. Deduce from this that the inequality must then be true for all b E R".
Transcribed Image Text:(a1,..., an) and 6 = (b1,.. , bn) are two The Cauchy-Schwarz inequality says that if đ = vectors in R", then lā - 5| < ||ä|||. In this exercise you will give a proof of this inequality using multivariable calculus. (a) Assume that the inequality is true for all b e R" with |||| = 1. Deduce from this that the inequality must then be true for all b E R".
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