Consider the following. T is the reflection through the origin in R2: T(x, y) = (-x, -y), v = (3, 5). (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 through the origin in R2: T(x, y) = (-x, -y), v = (3, 5).
(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 through the origin in R2: T(x, y) = (-x, -y), v = (3, 5). (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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