- #1
Firepanda
- 430
- 0
g(x,y) = x^3 - 3x^2 + 5xy -7y^2
Hessian Matrix =
6x-6******5
5********-7
Now I have to find the eigenvalues of this matrix, so I end up with the equation (where a = lambda)
(6x - 6 - a)(-7 - a) - 25 = 0
Multiplying out I get:
a^2 - 6xa + 13a - 42x + 17 = 0
How am I supposed to solve for a? Usually I just use the quadratic formula for my eigenvalues..
Should I take a third row/ column for my hessian matrix?
Hessian Matrix =
6x-6******5
5********-7
Now I have to find the eigenvalues of this matrix, so I end up with the equation (where a = lambda)
(6x - 6 - a)(-7 - a) - 25 = 0
Multiplying out I get:
a^2 - 6xa + 13a - 42x + 17 = 0
How am I supposed to solve for a? Usually I just use the quadratic formula for my eigenvalues..
Should I take a third row/ column for my hessian matrix?