 Solution

ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2012/f/f2/c/ii/solution

The inverse derivative formula, evaluated at

G (0, 0) = (0, 0)

, gives

D (G^{- 1}) (0, 0) = (1110)^{- 1} = (01 1 - 1) .

Multiplying the two displayed matrices in either order gives the identity element, verifying the total derivative explicitly.

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