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

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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(x1, x2) = (4xı – 2x2, 3|x2|). B. The transformation T defined by T(x1, x2, x3) = (x1, 0, x3) |C. The transformation T defined by T(x1, x2, x3) = (x1, x2, –x3) D. The transformation T defined by T(x1, x2, x3) (1, x2, x3) E. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1+ 4, 5x2). -
Transcribed Image Text:Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(x1, x2) = (4xı – 2x2, 3|x2|). B. The transformation T defined by T(x1, x2, x3) = (x1, 0, x3) |C. The transformation T defined by T(x1, x2, x3) = (x1, x2, –x3) D. The transformation T defined by T(x1, x2, x3) (1, x2, x3) E. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1+ 4, 5x2). -
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