Which of the following mappings A: R^2->R is a linear functional? (a) (a,b) -> lal + lbl. (b) (a, b) -> ab. (c) (a, b) -> √(a^2+b^2). (d) (a,b) -> 1. (e) (a, b) -> a - b. The correct answer is (e), why?
Which of the following mappings A: R^2->R is a linear functional? (a) (a,b) -> lal + lbl. (b) (a, b) -> ab. (c) (a, b) -> √(a^2+b^2). (d) (a,b) -> 1. (e) (a, b) -> a - b. The correct answer is (e), why?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
Question
Which of the following mappings A: R^2->R is a linear functional? (a) (a,b) -> lal + lbl. (b) (a, b) -> ab. (c) (a, b) -> √(a^2+b^2). (d) (a,b) -> 1. (e) (a, b) -> a - b. The correct answer is (e), why?
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