Consider the following. T is the reflection in the y-axis in R²: T(x, y) = (−x, y), v = (4, -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) =

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 = (4, -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)
=
Transcribed Image Text:Consider the following. T is the reflection in the y-axis in R²: T(x, y) = (−x, y), v = (4, -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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