Let T: R² R² be a linear transformation defined by a. Find the standard matrix, A, for T. A T(x₁, x₂) = (−5x₁ − 3x2, 12x₁ + 7x₂) = A b. Find the inverse of this standard matrix, if it exists. Enter DNE if the inverse does not exist. -1 c. Find a formula for T-¹, if it exists. Enter DNE if T-¹ does not exist. T-¹(x₁, x₂) =

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