Problem 3.Determine which of the following transformations are linear transformations.A. The transformation T defined by T(r1, r2) = (2a1 – 3r2, 21 + 4, 5z2).O B. The transformation T defined by T(1, T2, 13) = (1, r2, -13)O. The transformation T defined by T(r1, 12, 13) = (1, r2, 13)O D. The transformation T defined by T(x1, r2) = (4x1 – 2r2, 3|r2|).%3DO E. The transformation T defined by T(x1, r2, 13) = (x1,0, r3)

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Problem 3. Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(r1, r2) = (2r1 - 3r2, z1 + 4, 5r2). D B. The transformation T defined by T(r1, 2, a3) (1, 2, -23) %3D O C. The transformation T defined by T(r1, 2, T3) = (1, r2, r3) D D. The transformation T defined by T(r1, r2) = (4x1 - 2a2,3|r2|). DE. The transformation T defined by T(r1, 22, a3) = (21,0, z3)

Problem 3. Determine which of the following transformations are linear transformations. OA. The transformation T defined by T(r1, r2) = (2r1 - 3r2, z1 + 4, 5r2). D B. The transformation T defined by T(r1, 2, a3) (1, 2, -23) %3D O C. The transformation T defined by T(r1, 2, T3) = (1, r2, r3) D D. The transformation T defined by T(r1, r2) = (4x1 - 2a2,3|r2|). DE. The transformation T defined by T(r1, 22, a3) = (21,0, z3)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 4EQ

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