- #1
musemonkey
- 25
- 0
In general, the question is how do you take the derivative of the determinant of a matrix of functions, but more specifically how does one do this for a Wronskian?
I've read a remark that seemed to say that the derivative for an nth order Wronskian is the determinant of a sum of n matrices, each of which is made by differentiating one row of the Wronskian. Is that right?
In linear algebra texts derivatives of matrices of functions are discussed but it's been so long that the language of the latter chapters of those texts is no longer accessible to me. Is there a way to understand this without adjoints etc?
Thank you,
Genya
I've read a remark that seemed to say that the derivative for an nth order Wronskian is the determinant of a sum of n matrices, each of which is made by differentiating one row of the Wronskian. Is that right?
In linear algebra texts derivatives of matrices of functions are discussed but it's been so long that the language of the latter chapters of those texts is no longer accessible to me. Is there a way to understand this without adjoints etc?
Thank you,
Genya