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)

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 26E
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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)
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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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