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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

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 17CM

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Let f: R → R³ be defined by T() = (-7x, 4x, 7x - 9). Determine if I' is a linear transformation. Enter your vector answers using x, y and angle brackets "<, >".
a. T(x + y) =
T(x) +T(y) =
Does T(x + y) = T(x) +T(y) for all x, y = R? choose
b. T(cx) =
c(T(x)) =
+
Does T(cx) = c(T(x)) for all c, x € R? choose
c. Is T a linear transformation? choose

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