Consider the conjugate mapping T : C → C that is T(z) = z where z E C, or T(a + bi) = a – bi where a, b E R. a. Show that T is not linear if C is viewed as a vector space over itself. b. Show that T is linear if C is viewed as a vector space over the real field R.
Consider the conjugate mapping T : C → C that is T(z) = z where z E C, or T(a + bi) = a – bi where a, b E R. a. Show that T is not linear if C is viewed as a vector space over itself. b. Show that T is linear if C is viewed as a vector space over the real field R.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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