- #1
Shamshiel
- 2
- 0
I get the idea of Jacobian matrices. I think. Working through different examples, I don't have any problems.
For example,
f1 = x^2 + y^2
f2 = 3x + 4y
would result in
[2x 2y]
[3 4]
Similarly, by my understanding, something like
x^2 + y^2
3y + 4x
would result in
[2x 2y]
[4 3]
But when going up to systems like, say
f1 = x + x^2 + x^3 + y
...I'm baffled. I don't see how that could work. I'm under the impression that the Jacobian matrix should have two columns, but I'd have four there. I've had great difficulty finding any examples or explanations online, and I suspect my problem is I don't really understand them to begin with. And I really want to understand the math behind this, because otherwise I'm not really getting it.
Thanks!
For example,
f1 = x^2 + y^2
f2 = 3x + 4y
would result in
[2x 2y]
[3 4]
Similarly, by my understanding, something like
x^2 + y^2
3y + 4x
would result in
[2x 2y]
[4 3]
But when going up to systems like, say
f1 = x + x^2 + x^3 + y
...I'm baffled. I don't see how that could work. I'm under the impression that the Jacobian matrix should have two columns, but I'd have four there. I've had great difficulty finding any examples or explanations online, and I suspect my problem is I don't really understand them to begin with. And I really want to understand the math behind this, because otherwise I'm not really getting it.
Thanks!