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Linear Transformation and Bases In Exercises 25-28, 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) 26. T(2,-1,0)

Linear Transformation and Bases In Exercises 25-28, 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) 26. T(2,-1,0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Linear Transformation and Bases In Exercises 25-28, let T: R³ →R³ be a linear transformation such that T(1, 0, 0) = (2, 4, −1), 7(0, 1, 0) = (1, 3, -2), and T(0, 0, 1) = (0, -2, 2). Find the specified image. 25. T(1, -3, 0) 27. T(2, 4, 1) 26. T(2, 1, 0) 28. T(-2, 4, -1) -
Transcribed Image Text:Linear Transformation and Bases In Exercises 25-28, let T: R³ →R³ be a linear transformation such that T(1, 0, 0) = (2, 4, −1), 7(0, 1, 0) = (1, 3, -2), and T(0, 0, 1) = (0, -2, 2). Find the specified image. 25. T(1, -3, 0) 27. T(2, 4, 1) 26. T(2, 1, 0) 28. T(-2, 4, -1) -
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