# Let f be the linear transformation represented by the matrix M = (0 −5) - top (2 5) -bottom

Let f be the linear transformation represented by the matrix M = (0 −5) - top (2 5) -bottom

(a) State what effect f has on areas, and whether f changes orientation.

(b) Find the matrix that represents the inverse of f.

(c) (i) Use the matrix that you found in part (b) to find the image f(C) of the unit circle C under f, in the form ax^2 + bxy + cy^2 = d, where a, b, c and d are integers.

(ii) What is the area enclosed by f(C )?

Solution

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