4. Define the function T: R² → R as 1 T(v) = Av = |-2 4 V2 %3D -2 a. Find T(2, 4). b. Find the prcimage of (-1, 2, 2). c. Explain why the vector (1, 1, 1) has no prcimage under this trans- formation.

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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4. Define the function T: R? → R as
1
T(v) = Av = |-2
4
V2
%3D
-2
a. Find T(2, 4).
b. Find the prcimage of (-1, 2, 2).
c. Explain why the vector (1, 1, 1) has no preimage under this trans-
formation.
Transcribed Image Text:4. Define the function T: R? → R as 1 T(v) = Av = |-2 4 V2 %3D -2 a. Find T(2, 4). b. Find the prcimage of (-1, 2, 2). c. Explain why the vector (1, 1, 1) has no preimage under this trans- formation.
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