Assume that I is a linear transformation. Find the standard matrix of 1. 7x T: R²→R² first rotates points through-radians and then reflects points through the horizontal x₁-axis. A= (Type an integer or simplified fraction for each matrix element. Type exact answers, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 24E
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Assume that T is a linear transformation. Find the standard matrix of T.
7x
T: R² →R² first rotates points through
radians and then reflects points through the horizontal x₁-axis.
A=
(Type an integer or simplified fraction for each matrix element. Type exact answers, using radicals as needed.)
Transcribed Image Text:Assume that T is a linear transformation. Find the standard matrix of T. 7x T: R² →R² first rotates points through radians and then reflects points through the horizontal x₁-axis. A= (Type an integer or simplified fraction for each matrix element. Type exact answers, using radicals as needed.)
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