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# The Hessian matrix and critical points

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Identify the critical points and determine their nature (local max, local min, saddle, degenerate) using the Hessian of the function f(x,y,z) = x^2+y^2+2z^2+xz.

See the attached file.

##### Solution Summary

The solution shows the procedure of finding function's critical points utilizing Hessian matrices.

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