The Jacobian of a linear map
This is a small blog post. What is the Jacobian of a linear map? Say I have an matrix- call it . Also, I have a linear map which is given by . What is the Jacobian of ? This is a question that has confused me before.
The function takes a vector , and maps it to . The derivatives of this function with respect to the ‘s are just . Hence, the Jacobian of a linear map is the itself.