Hi Everyone,

I would be really grateful if you could help me out on these tricky questions.

Letfbe the linear transformation represented by the matrixM=

(a) state what effectfhas on areas, and whetherfchanges orientation.

(b) Find the matrix that represents the inverse off.

(c) (i) Use the matrix that you found in part (b) to find the imagef(ℓ) of the unit circle ℓ underf,in the form

ax²+ bxy + cy²= d

where a, b, c and d are integers.

(ii) What is the area enclosed byf(ℓ)?

Anyone who can shed some light will receive my eternal gratitude!