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Conversion From Differential To Derivative For Trace Of A Matrix

This post categorized under Vector and posted on August 12th, 2019.
Vector Transpose Mathematica: Conversion From Differential To Derivative For Trace Of A Matrix

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Now the matrix graphicociated to the derivative Df_A (or the differential) is a line with n2 elements. For example if n2 tr(AX)a_11x_11a_12 x_21a_21x_12a_22x_22.Stack Exchange network consists of 176 Q&A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.17.02.2011 Then you basically just take derivatives wrt the components instead of the whole matrix. Ive written up a detailed derivation but since I have a suspicion that this is a homework question and you havent shown any working so far I might hold off posting it.

The chain rule applies in some of the cases but unfortunately does not apply in matrix-by-scalar derivatives or scalar-by-matrix derivatives (in the latter case mostly involving the trace operator applied to matrices). In the latter case the product rule cant quite be applied directly either but the equivagraphict can be done with a bit more work using the differential idengraphicies.


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