Determine which of the following transformations are linear transformations.A. T(x, y, z) = (2x, 2z, 3)B. T(x, y) = (5y - 2x, -5xy, x + 5)□ C. T(x, y, z) = (3x, x + y)D. T(x, y) = (-x), 3x - 5y)□ E. T(x, y) = (4y - x, 2x, y + 3x)|

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Answered: Determine which of the following…

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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Determine which of the following transformations are linear transformations. A. T(x, y, z) = (2x, 2z, 3) | B. T(x, y) = (5y - 2x, -5xy, x+5) c. T(x, y, z) = (3x, x + y) D. T(x, y) = (−|x|, 3x – 5y)| □ E. T(x, y) = (4y - x, 2x, y + 3x)|