Can the matrix be differentiated with respect to a vector?
This might be of some help to you
A 2nd-order tensor and a matrix are basically the same thing.
I would phrase that differently. A matrix can be used to represent a tensor, in the same sense that a list of numbers represents a vector- but they are not "the same thing", even basically.
sainistar, if your given matrix is a function of a vector, then you can certainly differentiate.
Have you searched thru some of the basics:
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