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) =
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)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7515da3-ce1f-46f4-afa5-a3c718ad7f99%2Ff45cee68-6e91-4320-a84c-979431d9ef52%2Fx29qyxh_processed.jpeg&w=3840&q=75)
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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