Consider the following. T is the reflection in the y-axis in R²: T(x, y) = (-x, y), v = (3,-2). (a) Find the standard matrix A for the linear transformation T. A = 1883- (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 = (3,-2). (a) Find the standard matrix A for the linear transformation T. A = 1883- (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 = (3,-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%2Fd9d41188-65f6-48b0-af2f-be750049d164%2Fdf46af47-949e-4a4a-bf24-316091b23379%2Fnr6sy4r_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 = (3,-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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