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The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T1. T(x1,x2) = (4x₁5x2₁ - 4x₁ +9x2) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.) T-1 ¹ (x₁.x2) = (Type an ordered pair. Type an expression using x₁ and x2 as the variables.) cs Scanned with CamScanner

The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T1. T(x1,x2) = (4x₁5x2₁ - 4x₁ +9x2) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.) T-1 ¹ (x₁.x2) = (Type an ordered pair. Type an expression using x₁ and x2 as the variables.) cs Scanned with CamScanner

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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The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T1. T(x₁,x2) = (4x₁5x2₁ - 4x₁ +9x2) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.) T-1 ¹(x₁.x2) = (Type an ordered pair. Type an expression using x₁ and x2 as the variables.) CS Scanned with CamScanner
Transcribed Image Text:The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T1. T(x₁,x2) = (4x₁5x2₁ - 4x₁ +9x2) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.) T-1 ¹(x₁.x2) = (Type an ordered pair. Type an expression using x₁ and x2 as the variables.) CS Scanned with CamScanner
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