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,...
Related questions
Question
Transcribed Image Text:2 : Show that a map T is linear if and only if
T(Au + v) = XT(u)+T(v)
for all A ER and vectors u, v.
Expert Solution
Step 1
A linear transformation satisfies
T:U-V
Then T(u+v) = T(u) +T(v)
T(au) = aT(u)
For all a belongs to F and u,v belongs to U.
Step by step
Solved in 2 steps with 1 images
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