In Exercises 25-30, a linear transformation T is given. In each case find a matrix A such that T(x) = Ax. Also describe the null space and the range of T and give the rank and the nullity of T. 26. T: R² R³ defined by T X1 ([*]) - x2 X1 X2 x1 + x₂ x2

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A: The objective is to find det(A)

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