Let T: R² →R² be a linear transformation that maps u = find the images under T of 3u, 4v, and 3u +4v. -=[:] [:]and mapa -=[:] [~:;} into v= [+] The image of 3u is into Use the fact that T is linear to

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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HOMEWORK 7 QUESTION 5

Let T: R² →R² be a linear transformation that maps u =
find the images under T of 3u, 4v, and 3u +4v.
The image of 3u is
[1]
5
into
1
and maps v =
4
into
-1
4
Use the fact that T is linear to
Transcribed Image Text:Let T: R² →R² be a linear transformation that maps u = find the images under T of 3u, 4v, and 3u +4v. The image of 3u is [1] 5 into 1 and maps v = 4 into -1 4 Use the fact that T is linear to
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