Assume that T is a linear transformation. Find the standard matrix of T. T: R² →R² first reflects points through the line x₂ = X₁ and then reflects points through the origin. A = (Type an integer or simplified fraction for each matrix element.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 86E
Question

m4

Assume that T is a linear transformation. Find the standard matrix of T.
T: R² →R² first reflects points through the line x₂ = X₁ and then reflects points through the origin.
A =
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Assume that T is a linear transformation. Find the standard matrix of T. T: R² →R² first reflects points through the line x₂ = X₁ and then reflects points through the origin. A = (Type an integer or simplified fraction for each matrix element.)
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