Let T: R²→R², [2] → [ Show that T is invertible, and find a formula for T-¹. -5x1 +9x2 4x1 - 7x₂
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54926a61-2efd-4cd3-a31f-5100b320c7d2%2Fcf5f06ef-9c1b-4d3f-90eb-6d86004a8bbf%2F76lkfr_processed.png&w=3840&q=75)
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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