Let T: R²→R², [2] → [ Show that T is invertible, and find a formula for T-¹. -5x1 +9x2 4x1 - 7x₂

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 40E
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Let
T: R²→R², [21] → [
-5x₁ +9x₂
4x1 - 7x2
Show that T is invertible, and find a formula for T-¹.
Transcribed Image Text:Let T: R²→R², [21] → [ -5x₁ +9x₂ 4x1 - 7x2 Show that T is invertible, and find a formula for T-¹.
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