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, - 9x2:- 6x, + 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.) (Type an ordered pair. Type an expression using x1 and x2 as the variables.)

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Q: Linear algebra

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A: See the answer below

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A: The dimension of the given matrix  is 4×3 So determinant of the given matrix doesn't exist

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A: We can solve this as follows:

Q: The given T is a linear transformation from R2 into R2. Show that T is invertible and find a formula…

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