Consider the following maps of polynomials S:P →P and T:P→P defined by S(g(x)) = 4 g (5) – g'(-2)and T(g)= -3 g (x)* – 4g' (x). Explain why one these maps is a linear transformation and why the other map is not.
Consider the following maps of polynomials S:P →P and T:P→P defined by S(g(x)) = 4 g (5) – g'(-2)and T(g)= -3 g (x)* – 4g' (x). Explain why one these maps is a linear transformation and why the other map is not.
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 1CM
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