A scalar field f(x,y)=x3y+y2f(x, y) = x^3 y + y^2f(x,y)=x3y+y2. Find the Hessian matrix at (1,1)(1, 1)(1,1).
(6332)\begin{pmatrix} 6 & 3 \\ 3 & 2 \end{pmatrix}(6332)
(0332)\begin{pmatrix} 0 & 3 \\ 3 & 2 \end{pmatrix}(0332)
(6002)\begin{pmatrix} 6 & 0 \\ 0 & 2 \end{pmatrix}(6002)
(3112)\begin{pmatrix} 3 & 1 \\ 1 & 2 \end{pmatrix}(3112)