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For maximization, based on sufficient conditions, what must be the sign of all principal minors of...

For maximization, based on sufficient conditions, what must be the sign of all principal minors of order 3?

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Answer #1

In order to answer the given question, the concept of Hessian Matrix is used.

Hessian matrix is a squared matrix of second-order partial derivatives that describes the local curvature of the function with many variables.

For maximization, the sufficient condition is that the principal minors of order 3 alternate in sign with the 1×1 minor being negative.

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