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In: Advanced Math

Hessian Matrix Determinant and Convex/Concave I have a function which has a Hessian Matrix of: -2...

Hessian Matrix Determinant and Convex/Concave

I have a function which has a Hessian Matrix of:

-2 0 0
0 -16 10
0 10 -4

Can anyone explain why this is neither a positive nor a negative definite?

And could you please explain 2*2 and 3*3 Hessian's rule of determining positive/negative definite? Thank you.

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