Projections

To project a matrix $\mathbf{A}$ onto a vector $\vec{v}$ :

$$\boxed{\underset{R\times L}{{\mathbf{A}}_P}=\underset{R\times C}{\mathbf{A}}\cdot \underset{C\times L}{\frac{\vec{v}}{\Vert \vec{v}{\Vert }_2}}}$$