Q2.15 Compute the distance of a point x0 2 Rn to

a. the surface of a unit ball: kxk = 1;

b. a unit ball kxk  1;

c. an elliptic surface x|Ax = 1, where A 2 Rnn and A  0; and

d. an ovoid x|Ax  1, where A 2 Rnn and A  0.

Hints: Give a numerical procedure if no closed-form solution exists.