Let f be the linear transformation represented by by the matrix
M = 0 2
(a) State what effect f has on areas, and whether f changes orientaton.
(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 (ξ ) of the unit circle ξ under f, in the form
ax^2 +bxy +cy^2 = d
where a, b, c and d are integers.
What is the area enclosed by f ( ξ )