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) = (6x, - 8x2, – 6x, + 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.)

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) = (6x, - 8x2, – 6x, + 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.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 16EQ

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Question

The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula for T1.
T(X, ,X2) = (6x1 - 8x2, – 6x, + 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.)
(Type an ordered pair. Type an expression using x, and x, as the variables.)

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