Problem: Hessian and its determinant

Problem

  • Find the Hessian for the following function

\[f\left( x,y \right)=x^2-2y^2-3xy-4x+2\]

  • Find the determinant of the Hessian

Solution

\[H=\left( \right)\]

\(\left| H \right|=-8-9=-17\) .