A Practitioner’s Guide to Machine Learning

\[\begin{aligned} \begin{pmatrix} W_{11} & W_{12} & \cdots & W_{1j}\\ W_{21} & W_{22} & \cdots & W_{2j}\\ \vdots & \vdots & \ddots & \vdots\\ W_{i1} & W_{i2} & \cdots & W_{ij}\\ \end{pmatrix} \end{aligned}\]

\[\begin{aligned} \begin{pmatrix} W_{11} & W_{12} & \cdots & W_{1j}\\ W_{21} & W_{22} & \cdots & W_{2j}\\ \vdots & \vdots & \ddots & \vdots\\ W_{i1} & W_{i2} & \cdots & W_{ij}\\ \end{pmatrix} \cdot \begin{pmatrix} W_{11} & W_{12} & \cdots & W_{1k}\\ W_{21} & W_{22} & \cdots & W_{2k}\\ \vdots & \vdots & \ddots & \vdots\\ W_{j1} & W_{j2} & \cdots & W_{jk}\\ \end{pmatrix} \cdot \begin{pmatrix} W_{11} & W_{12} & \cdots & W_{1l}\\ W_{21} & W_{22} & \cdots & W_{2l}\\ \vdots & \vdots & \ddots & \vdots\\ W_{k1} & W_{k2} & \cdots & W_{kl}\\ \end{pmatrix} \cdot \begin{pmatrix} W_{11} & W_{12} & \cdots & W_{1m}\\ W_{21} & W_{22} & \cdots & W_{2m}\\ \vdots & \vdots & \ddots & \vdots\\ W_{l1} & W_{l2} & \cdots & W_{lm}\\ \end{pmatrix} \end{aligned}\]