Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(x1,X2, X3) = (x1,0, x3) B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) OC. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 - 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3)
Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(x1,X2, X3) = (x1,0, x3) B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) OC. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 - 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3)
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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