Question: under what conditions on the constant k will the function g(x,y,z)=kx^2+kxz-2yz-y^2+(k/2)x will have a nondegenerate local maximum at (0,0,0)? What about a non- degenerate local

under what conditions on the constant k will the function g(x,y,z)=kx^2+kxz-2yz-y^2+(k/2)x will have a nondegenerate local maximum at (0,0,0)? What about a non- degenerate local mininum?

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