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K 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) = (5x₁-9x2,- 5x₁ + 6x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is 2 3 (-x (Simplify your answer.) 1 1 5X2,35x 1 1:32 wrong

K 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) = (5x₁-9x2,- 5x₁ + 6x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is 2 3 (-x (Simplify your answer.) 1 1 5X2,35x 1 1:32 wrong

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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K 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) = (5x₁-9x2,- 5x₁ + 6x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is 2 3 (-x (Simplify your answer.) 1 1 5X2,35x 1 1:32 wrong
Transcribed Image Text:K 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) = (5x₁-9x2,- 5x₁ + 6x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is 2 3 (-x (Simplify your answer.) 1 1 5X2,35x 1 1:32 wrong
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