State and prove the sufficient condition for the minimum value of the function f (x,y)



State and prove the sufficient condition for the minimum value of the function f (x,y)..

Answer / Rohitash Kumar Meena

The sufficient condition for the minimum value of a quadratic function f(x,y) = ax^2 + 2hxy + by^2 is when the Hessian matrix (determinant of second order partial derivatives) is negative definite.

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