diff --git a/Study/DL/吴恩达深度学习课程/矩阵求导.md b/Study/DL/吴恩达深度学习课程/矩阵求导.md index 5cc629b..77c6c15 100644 --- a/Study/DL/吴恩达深度学习课程/矩阵求导.md +++ b/Study/DL/吴恩达深度学习课程/矩阵求导.md @@ -23,8 +23,20 @@ $\frac{dB}{dA} = \frac{d(f(A))}{dA}$ 即 `B` 对 `A` 中的每个变量进行求 ## 常见公式推导 1. $$\begin{aligned} - f(X) = A^T \cdot X = \sum_{i=1}^{n}a_i x_i \\ - d(f(X)) - - - $$ \ No newline at end of file + f(X) &= A^T \cdot X = \sum_{i=1}^{n}a_i x_i \\ + \frac{d(f(X))}{dX} &= + \left[ \begin{matrix} + \frac{\partial{f(X)}}{\partial{x_1}} \\ + \frac{\partial{f(X)}}{\partial{x_2}} \\ + \vdots\\ + \frac{\partial{f(X)}}{\partial{x_n}} + \end{matrix} \right] + = + \left[ \begin{matrix} + a_1\\ + a_2\\ + \vdots\\ + a_n + \end{matrix} \right] + = A + \end{aligned}$$ \ No newline at end of file