The given T is a linear transformation from R? into R2. Show that T is invertible and find a formula for T1. T(X1 X2) = (6x, - 8x2. - 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.)

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A: Solution :-

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A: To determine whether the matrix operator in each part is invertible. a) T(x, y)= (x+3y, 2x+5y)

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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: Given :-  The given T is a linear transformation from ℝ2 into ℝ2.  T x1 , x2  =  2x1 - 6x2 , -2x1 +…

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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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Q: Find the determinant for the given matrix A in two ways, by using cofactor expansion along the…

A: Also as per our guidelines we are supposed to answer only one question. Kindly repost other…