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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. T(X1,X2) = (3x, - 8x2, – 3x, + 5×2) ... 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) = (3x, - 8x2, – 3x, + 5×2) ... 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.)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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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 T(X1 ,X2) = (3×1 – 8×2, = 3x, + 5x2) ... 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 T T(X1 ,X2) = (3×1 – 8×2, = 3x, + 5x2) ... 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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