User:WLevine/test

$$ \begin{pmatrix} \vdots & \vdots & \vdots & & \vdots \\ \color{blue} u_{i,1} & \color{red} u_{i,2} & \color{green} u_{i,3} & \dots & u_{i,30} \\ \vdots & \vdots & \vdots & &\vdots \end{pmatrix} \begin{pmatrix} \color{blue} s_{1} \\ & \color{red} s_{2} \\ & & \color{green} s_{3} \\ & & & \ddots \\ & & & & s_{30} \end{pmatrix} \begin{pmatrix} \vdots & \vdots & \vdots & & \vdots \\ \color{blue} m_{j,1} & \color{red} m_{j,2} & \color{green} m_{j,3} & \dots & m_{j,30} \\ \vdots & \vdots & \vdots & & \vdots \end{pmatrix}^T $$

$$ \text{predicted rating of movie }j\text{ by user }i = {\color{blue} u_{i,1} s_{1} m_{j,1} } + {\color{red} u_{i,2} s_{2} m_{j,2} } + {\color{green} u_{i,3} s_{3} m_{j,3} } + \dots + u_{i,30} s_{30} m_{j,30} $$