Suppose T: R² R² is a linear transformation that first reflects points across the ₁-axis and then reflects points across the line x2 = -₁. Find the standard matrix, A, of T. [+] A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 1EQ: 1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
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Suppose T: R² R² is a linear transformation that first reflects points across the ₁-axis and
then reflects points across the line x2 = -₁. Find the standard matrix, A, of T.
[+]
A
Transcribed Image Text:Suppose T: R² R² is a linear transformation that first reflects points across the ₁-axis and then reflects points across the line x2 = -₁. Find the standard matrix, A, of T. [+] A
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