Derivative of a function of matrices product with respect to a single matrix












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I am reading a paper and cannot understand some math that deals with a derivative of a function of matrix multiplication with respect to a single matrix.



Can someone explain me how this is calculated
enter image description here



Last matrix is a vector, thus $w_{prod}$ is a vector.
E.g what calc and linear algebra rules are used here and how we get this final derivative.



Thank you!






calculus linear-algebra integration multivariable-calculus derivatives







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    0












    $begingroup$


    I am reading a paper and cannot understand some math that deals with a derivative of a function of matrix multiplication with respect to a single matrix.



    Can someone explain me how this is calculated
    enter image description here



    Last matrix is a vector, thus $w_{prod}$ is a vector.
    E.g what calc and linear algebra rules are used here and how we get this final derivative.



    Thank you!






    calculus linear-algebra integration multivariable-calculus derivatives







    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      I am reading a paper and cannot understand some math that deals with a derivative of a function of matrix multiplication with respect to a single matrix.



      Can someone explain me how this is calculated
      enter image description here



      Last matrix is a vector, thus $w_{prod}$ is a vector.
      E.g what calc and linear algebra rules are used here and how we get this final derivative.



      Thank you!






      calculus linear-algebra integration multivariable-calculus derivatives







      share|cite|improve this question











      $endgroup$




      I am reading a paper and cannot understand some math that deals with a derivative of a function of matrix multiplication with respect to a single matrix.



      Can someone explain me how this is calculated
      enter image description here



      Last matrix is a vector, thus $w_{prod}$ is a vector.
      E.g what calc and linear algebra rules are used here and how we get this final derivative.



      Thank you!






      calculus linear-algebra integration multivariable-calculus derivatives




      calculus linear-algebra integration multivariable-calculus derivatives






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 15 at 20:16







      YohanRoth

















      asked Jan 15 at 20:09









      YohanRothYohanRoth

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