Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x + (x y)y. a) Show that ||a||2 – ||x||? 2 + |ly||? (x . y)² %3D b) Deduce that ||a|| 2 ||x||.
Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x + (x y)y. a) Show that ||a||2 – ||x||? 2 + |ly||? (x . y)² %3D b) Deduce that ||a|| 2 ||x||.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 3E
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