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Matrix calculus deals with the problems of differentiating (possibly matrix-valued) functions of matrices

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Derivative of vector Y=XW with respect to matrix W

In the first derivation of dL/dW, I use the rule for the derivative of a constant with respect to a matrix and then apply the chain rule. \begin{gather*} Y\ =\ XW\ +\ B\\ X=\begin{bmatrix} x_{0} & x_{ …
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