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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 12CM

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Consider the following.
T is the reflection in the y-axis in R²: T(x, y) = (x, y), v = (5,-4).
(a) Find the standard matrix A for the linear transformation T.
A =
(b) Use A to find the image of the vector v.
T(v)=
=
Consider the following.
T is the counterclockwise rotation of 120° in R², v = (2, 2).
(a) Find the standard matrix A for the linear transformation T.
A =
(b) Use A to find the image of the vector v.
T(v) =

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