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) = (4x₁ − 6x2 - 4x₁ + 8x₂) 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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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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) = (4x₁ − 6x₂ - 4x₁ + 8x₂)
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.)
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) = (4x₁ − 6x₂ - 4x₁ + 8x₂) 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.)
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