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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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