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Linear Transformation and Bases In Exercises 25, 26, 27, and 28, let T: R³ → R³ be a linear transformation such that T (1, 0, 0) = (2, 4, −1), T (0, 1, 0) = (1, 3, −2), and T (0, 0, 1) = (0, −2, 2). Find the specified image. 25. T (1, -3,0) Answer

Linear Transformation and Bases In Exercises 25, 26, 27, and 28, let T: R³ → R³ be a linear transformation such that T (1, 0, 0) = (2, 4, −1), T (0, 1, 0) = (1, 3, −2), and T (0, 0, 1) = (0, −2, 2). Find the specified image. 25. T (1, -3,0) Answer

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 26E
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Linear Transformation and Bases In Exercises 25, 26, 27, and 28, let T: R³ → R³ be a linear transformation such that T (1, 0, 0) = (2, 4, −1), T (0, 1, 0) = (1, 3, −2), and T (0, 0, 1) = (0, −2, 2). Find the specified image. 25. T (1, -3,0) Answer
Transcribed Image Text:Linear Transformation and Bases In Exercises 25, 26, 27, and 28, let T: R³ → R³ be a linear transformation such that T (1, 0, 0) = (2, 4, −1), T (0, 1, 0) = (1, 3, −2), and T (0, 0, 1) = (0, −2, 2). Find the specified image. 25. T (1, -3,0) Answer
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