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2. Let L2 : R3 → R² be defined as L2(x) = L2 (x1, 2, X3) = (x1 + 0.3x2, x3 +2). Is L2 a linear transformation?

2. Let L2 : R3 → R² be defined as L2(x) = L2 (x1, 2, X3) = (x1 + 0.3x2, x3 +2). Is L2 a linear transformation?

Algebra and Trigonometry (6th Edition)
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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needed help finding linear transformation

2. Let \( L_2 : \mathbb{R}^3 \rightarrow \mathbb{R}^2 \) be defined as \[ L_2(x) = L_2(x_1, x_2, x_3) = (x_1 + 0.3x_2, x_3 + 2) .\] Is \( L_2 \) a linear transformation?
Transcribed Image Text:2. Let \( L_2 : \mathbb{R}^3 \rightarrow \mathbb{R}^2 \) be defined as \[ L_2(x) = L_2(x_1, x_2, x_3) = (x_1 + 0.3x_2, x_3 + 2) .\] Is \( L_2 \) a linear transformation?
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