Determine which of the following transformations are linear transformations. A. The transformation T defined by T(x₁, x2, x3) = (1, X2, X3) B. The transformation C. The transformation ] D. The transformation T defined by T(x1, x₂) T defined by T(x1, x2, x3) T defined by T(x1, x2) E. The transformation T defined by T(x1, X2, X3) = = (2x₁ − 3x2, x₁ + 4, 5x2). (x1, 0, x3) (4x1 – 2x2, 3|x2|). (x1, x2, — X3) = =

Determine which of the following transformations are linear transformations. A. The transformation T defined by T(x₁, x2, x3) = (1, X2, X3) B. The transformation C. The transformation ] D. The transformation T defined by T(x1, x₂) T defined by T(x1, x2, x3) T defined by T(x1, x2) E. The transformation T defined by T(x1, X2, X3) = = (2x₁ − 3x2, x₁ + 4, 5x2). (x1, 0, x3) (4x1 – 2x2, 3|x2|). (x1, x2, — X3) = =

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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Question

show step by step explanation why they are linear transformations and why they are not

Determine which of the following transformations are linear transformations.
A. The transformation T defined by T(x₁, x2, x3) = (1, X2, X3)
B. The transformation
C. The transformation
] D. The transformation
T defined by T(x1, x₂) (2x₁ − 3x2, x₁ + 4, 5x2).
T defined by T(x1, x2, x3) (x1, 0, x3)
T defined by T(x1, x2) (4x1 — 2x2, 3|x₂|).
E. The transformation T defined by T(x₁, x2, x3) = (X1, X2, —X3)
=
=
=

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