I checked my calculus book of Ross and Finley and doesn't have anything.
I checked my algebra book of Gilbert Strang and doesn't have anything.
I searched the net with no luck
and I decided to make an example in matlab, so just see how can I get the derivative of a matrix with respect to a vector I typed
It basically says that it will be a three-dimensional matrix. Each 2D "page" of this 3D matrix will be the derivative of the matrix with respect to an element of the vector. So, if you have an nxn matrix A and an mx1 vector x, the result of the derivative of A with respect to x, dA/dx, would be an nxnxm matrix where
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