[線代] Local Extrema
Draw whatever conclutions are possible concerning local extrema of the
function g
1.g(x,y)=4-3x+(2x^2-2xy+y^2)+(2x^2*y+y^3)+......
→ |3-x -3|
|-3 4-x| x=(7±√37)/2 (positive definte)所以有local minimum 4 at(0,0)
可是解答說g沒有local extremum
是我哪裡算錯了嗎?
2.g(x,y,z)=4-(x^2+4xy+5y^2+3z^2)+(x^3xyz)
|1-x 2 0 |
| 2 5-x 0 | x=3, 3±√2 positive definte 所以有local minimum 4 at
| 0 0 3-x| (0,0,0) 可是解答說是local maximum 請問是為什麼?
謝謝~~~
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