Determine which of the following transformations T: R² → R² are linear. 1. T(x) = (10z², #₂) 2. T(x) = (1 + 6, 12) 3. T(x) = (921 + 12, 4. T(x) = (721, 4) 5. T(x) = (0, 5x2) ? D We (1)T

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,...
Question

Answer 1, 2, and 3 please!

Determine which of the following transformations T: R² R2 are linear.
1. T(x) = (10x², #2)
2. T(x) = (¹1 + 6, 22)T
3. T(x) = (921 + 72, (21)
4. T(x) = (7x1, 4)
5. T(x) = (0, 5x2)
2
P
7
P
2
Transcribed Image Text:Determine which of the following transformations T: R² R2 are linear. 1. T(x) = (10x², #2) 2. T(x) = (¹1 + 6, 22)T 3. T(x) = (921 + 72, (21) 4. T(x) = (7x1, 4) 5. T(x) = (0, 5x2) 2 P 7 P 2
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