arcadiaphy commented on issue #15007: Add matrix determinant operator in linalg URL: https://github.com/apache/incubator-mxnet/pull/15007#issuecomment-494424737 The following is the gradient of added operators: Matrix inversion <img src="https://latex.codecogs.com/gif.latex?\frac{\partial&space;L}{\partial&space;A}&space;=&space;-A^{-T}&space;\frac{\partial&space;L}{\partial&space;A^{-1}}&space;A^{-T}"; title="\frac{\partial L}{\partial A} = -A^{-T} \frac{\partial L}{\partial A^{-1}} A^{-T}" /> Matrix determinant (A is invertible) <img src="https://latex.codecogs.com/gif.latex?\frac{\partial&space;L}{\partial&space;A}&space;=&space;det(A)&space;\frac{\partial&space;L}{\partial&space;det(A)}&space;A^{-T}" title="\frac{\partial L}{\partial A} = det(A) \frac{\partial L}{\partial det(A)} A^{-T}" /> Matrix log determinant and signed log determinant (A is invertible) <img src="https://latex.codecogs.com/gif.latex?\frac{\partial&space;L}{\partial&space;A}&space;=&space;\frac{\partial&space;L}{\partial&space;log(det(A))}&space;A^{-T}" title="\frac{\partial L}{\partial A} = \frac{\partial L}{\partial log(det(A))} A^{-T}" />
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