(4) (c) Show that angular inequalities ad (2.38). || + $||² + ||- ||² = 2 (||||²+||$||²).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 54E
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a,c 

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2.4 The following inequalities recur frequently when working with vector spaces.
(a) Using the positivity of the norm of the vector ) - Alp), for all values of the
complex number 1, deduce the Schwarz inequality
K416)| ≤||||||||
(~)
(c) Show that
angular inequalities
ad (2.38).
|| + $||² + || - $||² = 2 (||$||² + ||6|1²) .
Transcribed Image Text:2.4 The following inequalities recur frequently when working with vector spaces. (a) Using the positivity of the norm of the vector ) - Alp), for all values of the complex number 1, deduce the Schwarz inequality K416)| ≤|||||||| (~) (c) Show that angular inequalities ad (2.38). || + $||² + || - $||² = 2 (||$||² + ||6|1²) .
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