Centurion1
- 71
- 0
Not sure if this is where I should put this but currently I am taking math for econ and we are on special determinants (jacobian, Hessian, Bordered Hessian, some Leontiff)
So I have this problem in my notes that I am basically basing my exam studying around since the book isn't the best. It is a Jacobian heading into a hessian but I am more confused about the Jacobian. So this is what I have
z = 2x2 + 4y2 - 2xy + 65 + λ(32-x-y)
zx = 4x - 2y + λ
zy = 8y - 2x +λ
zλ = 32-x-y
Then it goes into the matrice and I have written
4 -2 -1 x 0
-2 -8 -1 y = 0
-1 -1 0 λ -32
lJl = lAl = -16 ≠ 0 p(a) = 3
Ok so once I have made the matrice (which makes sense to me) I can even find the determinants of the first part. I am just confused how 0 0 -32 came about and also where the last bit which i assume is the final answer means. I can do a 2x2 Jacobian easily its when it is like this that confuses me. What step am I missing. Also if this is the wrong section I apologize feel free to move it. I just googled how to do something and this was where something on determinants was
So I have this problem in my notes that I am basically basing my exam studying around since the book isn't the best. It is a Jacobian heading into a hessian but I am more confused about the Jacobian. So this is what I have
z = 2x2 + 4y2 - 2xy + 65 + λ(32-x-y)
zx = 4x - 2y + λ
zy = 8y - 2x +λ
zλ = 32-x-y
Then it goes into the matrice and I have written
4 -2 -1 x 0
-2 -8 -1 y = 0
-1 -1 0 λ -32
lJl = lAl = -16 ≠ 0 p(a) = 3
Ok so once I have made the matrice (which makes sense to me) I can even find the determinants of the first part. I am just confused how 0 0 -32 came about and also where the last bit which i assume is the final answer means. I can do a 2x2 Jacobian easily its when it is like this that confuses me. What step am I missing. Also if this is the wrong section I apologize feel free to move it. I just googled how to do something and this was where something on determinants was