Let ƒ: R → R³ be defined by f(x) = = a. f(x + y) f(x) + f(y): + Does f(x + y) = f(x) + f(y) for all x, y ER? choose b. f(cx): = = (x, 4x², 8x). Is ƒ a linear transformation? c(f(x)) = Does f(cx) = c(f(x)) for all c, x = R? choose c. Is f a linear transformation? choose
Let ƒ: R → R³ be defined by f(x) = = a. f(x + y) f(x) + f(y): + Does f(x + y) = f(x) + f(y) for all x, y ER? choose b. f(cx): = = (x, 4x², 8x). Is ƒ a linear transformation? c(f(x)) = Does f(cx) = c(f(x)) for all c, x = R? choose c. Is f a linear transformation? choose
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 16CM
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