Suppose that R³ is given the norm ||(x, y, z) || = |x|+|y| + |2| and let S = {(x, y, z) = R³: 2x + y - 3z = 0}. Define a functional f on S by f(x, y, z) = x - z. (b) Determine ||f||.
Suppose that R³ is given the norm ||(x, y, z) || = |x|+|y| + |2| and let S = {(x, y, z) = R³: 2x + y - 3z = 0}. Define a functional f on S by f(x, y, z) = x - z. (b) Determine ||f||.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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