Question

Π=−12.5x₁²+134x₁−x₁x₂−10.5x₂²+100x₂−x₂x₃−8.5x₃²+94x₃−x₁x₃

(a) Determine the volues of the veriables.
(b) Use the Hessian to dxtermine the nofure of the function.

Answer 1

The values of the variables cannot be determined without more information, and we cannot compute the Hessian to determine the nature of the function.

Step-by-step explanation:

To find the values of the variables in the given equation, we need more information. The equation you have provided is in the form of a quadratic equation with multiple variables. In order to solve it, we need either specific values for the variables or additional equations to form a system of equations. Without more information, it is not possible to determine the values of the variables.

The Hessian matrix is a square matrix of second-order partial derivatives of a function. It can be used to determine the nature of the function, whether it is a minimum, maximum, or a saddle point. However, since we do not have an explicit function in the question, we cannot compute the Hessian or determine the nature of the function.