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## Homework Statement

I have been given a 4x4 hessian matrix at a point c. I want to find out if the point is a local min/max/saddle. I am aware of the conditions of critical points for 3x3 hessians, but I'm not sure about 4x4 hessians.

The hessian is given by

1 0 -2 1

0 2 0 -1

-2 0 5 2

1 -1 2 4

## Homework Equations

## The Attempt at a Solution

I can get the determinant of the principal submatricies until the 3x3 matrix but is that enough to determine if its a local max min or saddle?