The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T'. T(X1.X2) = (2×1 - 6x2,-2x, +7x2) 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.)

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter 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 T
1
T(X1.X2) = (2x, -6x2.-2x, +7x2)
%3D
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.)
1
(Type an ordered pair. Type an expression using x, and x, as the variables.)
Transcribed Image Text:The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T 1 T(X1.X2) = (2x, -6x2.-2x, +7x2) %3D 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.) 1 (Type an ordered pair. Type an expression using x, and x, as the variables.)
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