Find the standard matrices A and A' for T = T₂ ° T₁ and T' = T₁ ° T₂. T₁: R² - R², T₁(x, y) = (x - 2y, 2x + 3y) T₂: R² → R², T₂(x, y) = (0, x) A = A' =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 53RE
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Find the standard matrices A and A' for T = T₂ ° T₁ and T' = T₁ ° T₂.
T₁: R² → R², T₁(x, y) = (x - 2y, 2x + 3y)
T₂: R² → R², T₂(x, y) = (0, x)
A =
A' =
Transcribed Image Text:Find the standard matrices A and A' for T = T₂ ° T₁ and T' = T₁ ° T₂. T₁: R² → R², T₁(x, y) = (x - 2y, 2x + 3y) T₂: R² → R², T₂(x, y) = (0, x) A = A' =
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