Find the Hessian matrix HfH_fHf for f(x,y)=x2exyf(x, y) = x^2 e^{xy}f(x,y)=x2exy at (1,0)(1, 0)(1,0).
(2220)\begin{pmatrix} 2 & 2 \\ 2 & 0 \end{pmatrix}(2220)
(2440)\begin{pmatrix} 2 & 4 \\ 4 & 0 \end{pmatrix}(2440)
(2221)\begin{pmatrix} 2 & 2 \\ 2 & 1 \end{pmatrix}(2221)
(0222)\begin{pmatrix} 0 & 2 \\ 2 & 2 \end{pmatrix}(0222)