(New page: --Jacobians-- This page is dedicated to explaining what the Jacobian matrix is, and also how to use it. In general, this topic is useful for Vector Calculus and making some surface integr...) |
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This page is dedicated to explaining what the Jacobian matrix is, and also how to use it. In general, this topic is useful for Vector Calculus and making some surface integrals easier to do. | This page is dedicated to explaining what the Jacobian matrix is, and also how to use it. In general, this topic is useful for Vector Calculus and making some surface integrals easier to do. | ||
| − | + | ===Basic Definition=== | |
The Jacobian Matrix is just a matrix that takes the partial derivatives of each element of a function (which is in the form of a vector. | The Jacobian Matrix is just a matrix that takes the partial derivatives of each element of a function (which is in the form of a vector. | ||
Revision as of 11:20, 6 May 2013
Jacobians
This page is dedicated to explaining what the Jacobian matrix is, and also how to use it. In general, this topic is useful for Vector Calculus and making some surface integrals easier to do.
Basic Definition
The Jacobian Matrix is just a matrix that takes the partial derivatives of each element of a function (which is in the form of a vector.
For example, let's take the function: F(x,y) = <x,y> .
