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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 74E

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Question

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can
justify your answers.
OA. T(f(t)) = (f(t))³ + 8(f(t))? + 6f(t) from C* to C∞
B. T(f(t)) = f'(t) + 8f(t) from C to Co
C. T(x+ iy) = 9x – iy from C to C
D. T(f(t)) = f(-t) from Pg to Ps
E. T(f(t)) = f(3) from P2 to R
F. T(f(t)) = f'(t) + 7f(t) +4 from C to C∞
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