Define a symmetric 2 x 2 matrix: H = h12 h12 h2z and a 2 x 1 vector: i. Calculate r* Hr. ii. Based on your answer to the previous question, find a symmetric matrix H such that: x3 - 6.142 + 2x2 = x*Hx iii. Using this idea, express in matrix form the expression: a2 f a2 f 22 f Or2 (2 - 20)2+ 2 axdy (x - ro)(y - yo) + duz (y - yo)2 The H matrix in this case is called the Hessian for the function f