Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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(x1,x2) = (3x1 - 7x2. - 3x₁ + 6x2) 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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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) = (3x1 - 7x2. - 3x₁ + 6x2) 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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