9. In this exercise, T: R2 R2 is a function. For each of the following parts, state why T is not linear. (a) T(a₁, a2) = (1, a2) (b) T(a₁, a2) = (a₁, a²) (c) T(a₁, a2) =(sin a₁,0) (d) T(a1, a2) = (|a₁|, a2) (e) T(a₁, a2) = (a₁ + 1, a₂)

9. In this exercise, T: R2 R2 is a function. For each of the following parts, state why T is not linear. (a) T(a₁, a2) = (1, a2) (b) T(a₁, a2) = (a₁, a²) (c) T(a₁, a2) =(sin a₁,0) (d) T(a1, a2) = (|a₁|, a2) (e) T(a₁, a2) = (a₁ + 1, a₂)

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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Section 2.1: 9(b)

9. In this exercise, T: R²
R2 is a function. For each of the following
parts, state why T is not linear.
(a) T(a₁, a2)= (1, a2)
(b) T(ay, a2) = (a₁, a²)
(c) T(a₁, a2) = (sin a₁,0)
(|a₁], a2)
(a₁ + 1, a₂)
(d) T(a1, a2) =
(e) Ta₁, a2) =

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