Write down the matrix of the linear transformation f that maps (1, 0) to (3, 1) and (0, 1) to (-1,1). Show that f is invertible and find the matrix of f-¹. Find the equation of the image of the unit circle x² + y² = 1 under the linear transformation f. Write your answer in the form ax² + bxy + cy² = d, where a, b, c and d are integers whose values you should find.

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