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Which of the following mappings is not a linear transformation? 1. T:C*(-0,00) C(-∞,00) such that T(f) = f + 2f' 2. V is an inner product space and T:V →V such that T(v) =< v, vo >, vo is a nonzero vector in V. 3. T:P2 - Pe such that T(P(x)) = x²P²(x). 4. None of these O option1 O option2 option3 option4

Which of the following mappings is not a linear transformation? 1. T:C*(-0,00) C(-∞,00) such that T(f) = f + 2f' 2. V is an inner product space and T:V →V such that T(v) =< v, vo >, vo is a nonzero vector in V. 3. T:P2 - Pe such that T(P(x)) = x²P²(x). 4. None of these O option1 O option2 option3 option4

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 43EQ
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Which of the following mappings is not a linear transformation? 1. T:C*(-∞,∞) → C(-∞,∞0) such that T'(f) = f +2f" 2. V is an inner product space and T:V → V such that T(v) =< v, vo >, vo is a nonzero vector in V. 3. T:P, → Pe such that T(P(x)) = x²p²(x). 4. None of these O option1 O option2 O option3 option4
Transcribed Image Text:Which of the following mappings is not a linear transformation? 1. T:C*(-∞,∞) → C(-∞,∞0) such that T'(f) = f +2f" 2. V is an inner product space and T:V → V such that T(v) =< v, vo >, vo is a nonzero vector in V. 3. T:P, → Pe such that T(P(x)) = x²p²(x). 4. None of these O option1 O option2 O option3 option4
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