Express the given linear mapping w = f(z) as a composition of a rotation R(z), magnification M(z), and a translation T(z). Then describe the action of the linear mapping in words. f(z)=(-1/2)z+1-sqrt(3)i i is not under square root

Express the given linear mapping w = f(z) as a composition of a rotation R(z), magnification M(z), and a translation T(z). Then describe the action of the linear mapping in words. f(z)=(-1/2)z+1-sqrt(3)i i is not under square root

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 2CM: In Exercises 1 and 2, determine whether the function is a linear transformation. T:M2,2R,...

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Express the given linear mapping w = f(z) as a composition of a rotation R(z), magnification M(z), and a translation T(z). Then describe the action of the linear mapping in words.

f(z)=(-1/2)z+1-sqrt(3)i

i is not under square root

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